Question

A rectangular prism has a length of 8 cm, a width of 10 cm, and a height of 4 cm. The dimensions are to be halved to create a reduction of the prism. What is the surface area of the reduced prism? Enter your answer in the box.

Answer 1

Answer: 76 square centimeters

Step-by-step explanation:

Since the dimensions are halved, we divide the length, the width and the height by 2. So, here are the new dimensions

length = 4 cm
width = 5 cm
height = 2 cm

Hence the surface area is given by

Surface area = 2[(length)(width) + (length)(height) + (width)(height)]
= 2[4(5) + 4(2) + 5(2)]
= 2[20 + 8 + 10]
= 2(38)
Surface area = 76 square centimeters