Question

A right prism has a rectangular base. The length is 5ft, width is 2ft, and its height is 10ft.

Answer 1

• L=5ft
• B=2ft
• H=10ft

Volume

• LBH
• 5(2)(10)
• 10²
• 100ft³

Answer 2

If the dimensions of the prism are doubled the surface area of the enlarged prism is 640 cm²

Surface area of a rectangular prism:

• Area = 2lw + 2lh + 2wh

where

h = height

l = length

w = width

Therefore, if the dimension of the prism are doubled the new dimension will be as follows:

l = 5(2) = 10 cm

w = 2(2) = 4 cm

h = 10(2) = 20 cm

Therefore,

surface area = 2(10 × 4) + 2(10 × 20) + 2(20 × 4)

surface area = 2(40) + 2(200) + 2(80)

surface area = 80 + 400 + 160

surface area = 640 cm²

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