Chapter 11.4, Problem 44PPS

(a)

To determine

To find the volume in cubic inches of the prism.

Answer to Problem 44PPS

Volume of the prism is $5400$ cubic inches.

Explanation of Solution

Given:

Length $=$ $20$ in

Breadth $=$ $15$ in

Height $=$ $18$ in

Formula Used:

Volume of the prism $=$ $l\times b\times h$

Calculation:

Given:

Length $=$ $20$ in

Breadth $=$ $15$ in

Height $=$ $18$ in

Using the above formula, we have:

Volume of the prism $=$ $l\times b\times h$

Volume of the prism $=$ $20\times 15\times 18$

Solving further, we have:

Volume of the prism $=$ $5400$ cubic inches.

Conclusion:

Hence, the volume of the prism is $5400$ cubic inches.

(b)

To determine

To find the volume in cubic feet of the prism.

Answer to Problem 44PPS

Volume of the prism is $3.125$ cubic foot.

Explanation of Solution

Given:

Length $=$ $20$ in

Breadth $=$ $15$ in

Height $=$ $18$ in

Ratio $=$ $\frac{1foo{t}^3}{1728inche{s}^3}$

Formula Used:

Volume of the prism $=$ $l\times b\times h$

Calculation:

Given:

Length $=$ $20$ in

Breadth $=$ $15$ in

Height $=$ $18$ in

Using the above formula, we have:

Volume of the prism $=$ $l\times b\times h$

Volume of the prism $=$ $20\times 15\times 18$

Solving further, we have:

Volume of the prism $=$ $5400$ cubic inches.

Multiplication expression $=$ $5400$ $inche{s}^3$ $\times \frac{1foo{t}^3}{1728inche{s}^3}$

Solving further, we have:

Volume of the prism $=$ $3.125$ $foo{t}^3$

Conclusion:

Hence, the volume of the prism is $3.125$ cubic foot.