Question

4. A rectangular trunk has a volume of 26,880 cubic inches. The trunkis 4 feet long by 28 inches wide. What is the trunk's height?F. 20 in. G. 60 in. H. 240 in. I. 2,880 in.5. What is the volume of the right triangularprism?A. 93.3 mC. 280 mB. 140.3 mD. 560 m34 m10 m14 m16 words

Answer 1

Given:

Volume of trunk is, V = 26,880 cubic inches.

Length of the trucnk is, l = 4 feet.

Width of the trucnk is, w = 28 inches.

The objective is to find the height of the truck.

Since the required height is to be in inches, convert all the given dimensions into inches.

`1\text{feet}=12\text{inches}`

Then,

`\begin{gathered} 4\text{ f}eet=4\cdot12\text{ inches} \\ 4\text{ f}eet=48\text{ inches} \end{gathered}`

Now the height of the truck can be calculated as,

`\begin{gathered} V=l\cdot w\cdot h \\ h=(V)/(l\cdot w) \end{gathered}`

Substitute the given values in the above equation,

`\begin{gathered} h=(26,880)/(48\cdot28) \\ h=(26,880)/(1344) \\ h=20\text{ inches} \end{gathered}`

Thus, the height of the truck is 20 inches.

Hence, option (F) is the correct answer.