How to find the surface area of a tetrahedron - PSAT Math
Card 1 of 14
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
Tap to reveal answer
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute 
:
square inches.
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute
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Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Tap to reveal answer
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about 
.
Rounded, this is 84.9.
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about
Rounded, this is 84.9.
← Didn't Know|Knew It →
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
Tap to reveal answer
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute :
square inches.
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute
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Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Tap to reveal answer
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about .
Rounded, this is 84.9.
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about
Rounded, this is 84.9.
← Didn't Know|Knew It →
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
Tap to reveal answer
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute :
square inches.
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute
← Didn't Know|Knew It →
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Tap to reveal answer
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about .
Rounded, this is 84.9.
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about
Rounded, this is 84.9.
← Didn't Know|Knew It →
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
Tap to reveal answer
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute :
square inches.
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute
← Didn't Know|Knew It →
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Tap to reveal answer
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about .
Rounded, this is 84.9.
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about
Rounded, this is 84.9.
← Didn't Know|Knew It →
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
Tap to reveal answer
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute :
square inches.
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute
← Didn't Know|Knew It →
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Tap to reveal answer
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about .
Rounded, this is 84.9.
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about
Rounded, this is 84.9.
← Didn't Know|Knew It →
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
Tap to reveal answer
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute :
square inches.
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute
← Didn't Know|Knew It →
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Tap to reveal answer
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about .
Rounded, this is 84.9.
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about
Rounded, this is 84.9.
← Didn't Know|Knew It →
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
A regular tetrahedron has four congruent faces, each of which is an equilateral triangle.
A given tetrahedron has edges of length six inches. Give the total surface area of the tetrahedron.
Tap to reveal answer
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute :
square inches.
The area of an equilateral triangle is given by the formula
Since there are four equilateral triangles that comprise the surface of the tetrahedron, the total surface area is
Substitute
← Didn't Know|Knew It →
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Give the surface area of the above tetrahedron, or four-faced solid, to the nearest tenth.
Tap to reveal answer
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about .
Rounded, this is 84.9.
The tetrahedron has four faces, each of which is an equilateral triangle with sidelength 7. Each face has area
The total surface area is four times this, or about
Rounded, this is 84.9.
← Didn't Know|Knew It →