Area and Volume Unit Test

Question

7 of 157 of 15 Items

Question
Use the image to answer the question.

Decompose the box net into simple polygons to find how much cardboard in square inches is needed to make the cube. Assume that all angles that look like right angles are right angles. All polygons that look congruent are congruent. What is the area of the shape in square inches?

(1 point)
square inches

Answer 1

To find the area of the shape in square inches, we need to calculate the total area of all the individual polygons that make up the box net.

Let's break down the box net into its individual polygons:

1. Square Base: 5 inches by 5 inches (Area = 5 * 5 = 25 square inches)
2. Rectangular Sides (2): 5 inches by 3 inches (Area = 5 * 3 = 15 square inches each, total area = 30 square inches)

Now, add up the areas of the individual polygons:

25 (square base) + 30 (rectangular sides) = 55 square inches

Therefore, the area of the shape in square inches is 55 square inches.