A rectangle prism has length 12 centimeters and width 4 centimeters. If its surface area is 467 square centimeters, what is the

Question

2 years ago

9

height of the prism

1 answer:

erica [24] · Answer 1 · 2022-11-17T04:19:55+03:00

Answer:

11.59 centimeters

Step-by-step explanation:

Use the formula for the surface area of a rectangular prism: A = 2(wl + hl + hw)

Plug in the surface area, length, and width. Then, solve for h:

A = 2(wl + hl + hw)

467 = 2((4)(12) + h(12) + h(4))

467 = 2(48 + 12h + 4h)

467 = 2(48 + 16h)

467 = 96 + 32h

371 = 32h

11.59 = h

So, the height of the prism is approximately 11.59 centimeters