Question

Identifying and Generating Equivalent Expressions - Item 31254

Answer 1

Answer:

2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10

2(10 · 4 + 10 · 7 + 4 · 7)

Step-by-step explanation:

Given dimensions of the square prism:

• length = 7 units
• width = 4 units
• height = 10 units

In order to find the surface area, we must find the area of each face.

Area of a rectangle = width x length

The square prism has 3 pairs of faces:

SA of bases = 7 x 4

SA of side 1 = 4 x 10

SA of side 2 = 7 x 10

So the total surface area is

2(7 x 4) + 2(4 x 10) + 2(7 x 10) = 276 units squared

Solutions

2 · 7 · 4 + 2 · 10 · 7 + 2 · 4 · 10

2(10 · 4 + 10 · 7 + 4 · 7)