1

Problem

A rectangular prism of volume \$4200 mm^3\$ has a rectangular base of length 5 mm and width 8 mm. Find the height h of the prism.

2

Step

Given that the volume(v) of the rectangular prism is and the length(l) is width(w) is

\$4200 mm^3\$, 5 mm and 8 mm

3

Formula

Volume of rectangular prism is \$"Volume"(v) = "length" \times "width" \times "height"\$.

4

Step

Plug the values into the formula:

\$4200 mm^3 = 5 mm \times 8 mm \times h\$

5

Step

Solve for the height (h):

\$h = (4200)/5 \times 8 => (4200)/(80)\$

\$h = (\cancel(4200))/(\cancel(80))\$

h = 105 mm

6

Solution

So, the height (h) of the rectangular prism is 105 mm.

7

Sumup

Please summarize steps

Choices

8

Choice-A

It is the Correct option. Calculated height based on given dimensions and volume

Correct 105 mm

9

Choice-B

This option is larger than the correct answer, so it is not correct

Wrong 110 mm

10

Choice-C

This option is larger than the correct answer, so it is not correct

Wrong 112 mm

11

Choice-D

This option is smaller than the correct answer, so it is not correct

Wrong 15 mm

12

Answer

Option

A

13

Sumup

Please summarize choices