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HSPT Math : HSPT Mathematics

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Example Questions

Example Question #2141 : Hspt Mathematics

Cylinder

The surface area of the above cylinder is 80% of what number?

Possible Answers:

$28,000 \pi$ $\displaystyle 28,000 \pi$

$5,250 \pi$ $\displaystyle 5,250 \pi$

$45,000 \pi$ $\displaystyle 45,000 \pi$

$1,680 \pi$ $\displaystyle 1,680 \pi$

Correct answer:

$5,250 \pi$ $\displaystyle 5,250 \pi$

Explanation:

The surface area of the cylinder can be calculated by setting r = 30 $\displaystyle r = 30$ and h = 40 $\displaystyle h = 40$ in the formula

$A =2 \pi r (r + h)$ $\displaystyle A =2 \pi r (r + h)$

$A =2 \pi \cdot 30 (30 + 40)$ $\displaystyle A =2 \pi \cdot 30 (30 + 40)$

$A =2 \pi \cdot 30 \cdot 70$ $\displaystyle A =2 \pi \cdot 30 \cdot 70$

$A = 4,200 \pi$ $\displaystyle A = 4,200 \pi$

This is 80% of the number

$4,200 \pi \div \frac{80}{100} = 4,200 \pi \cdot \frac{100} {80}= 5,250 \pi$ $\displaystyle 4,200 \pi \div \frac{80}{100} = 4,200 \pi \cdot \frac{100} {80}= 5,250 \pi$

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Example Question #2142 : Hspt Mathematics

What is the surface area of a cube with a side edge of 7?

Possible Answers:

168 $\displaystyle 168$

196 $\displaystyle 196$

343 $\displaystyle 343$

294 $\displaystyle 294$

$\displaystyle 49$

Correct answer:

294 $\displaystyle 294$

Explanation:

First you must find the area of one side of the cube which is side squared.

$\\A=s^2 \\A=7^2 \\A=49$ $\displaystyle \\A=s^2 \\A=7^2 \\A=49$ .

Then you multiply that area by six since that is how many sides a cube has.

Your answer is $\displaystyle 49*6=294$.

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HSPT Math : HSPT Mathematics

Study concepts, example questions & explanations for HSPT Math

All HSPT Math Resources

Example Questions

Example Question #2141 : Hspt Mathematics

Example Question #2142 : Hspt Mathematics

All HSPT Math Resources

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