Question

If the volume of a prism having square base and height $10$ feet is $160$ ${\text{feet}}^3.$ What is the length of base?

• A. $4$ feet
• B. $8$ feet
• C. $10$ feet
• D. $16$ feet

Answer 1

The correct option is A $4$ feet

Given,
height of prism $=10$ feet.
volume of prism $=160$ ${\text{feet}}^3.$
Also, base is square i.e. length is equal to width.
We know that,
Volume of prism $=$ length $\times$ width $\times$ height
$\Rightarrow 160=10\times (\text{length}{)}^2$
$\Rightarrow 16=(\text{length}{)}^2$
$\Rightarrow 4\times 4=\text{length}\times \text{length}$
$\Rightarrow 4=\text{length}$

$\Rightarrow \text{length}=4$ $\text{feet}$
​​​​​​​
​​​​​​​Hence, measure of base length is $4$ feet.