Surface Area Unit Test

Question

8 of 168 of 16 Items

Question
Use the image to answer the question.

A toy came in a container that is shaped like a triangular prism. How much wrapping paper is needed to wrap the toy? Round your answer to the nearest whole number.

(1 point)
S.A. = cm2

Answer 1

To find the surface area of the triangular prism, we need to find the area of each face and then add them together.

The triangular base has a base of 8 cm and a height of 6 cm. The area of the base can be found using the formula for the area of a triangle: 1/2 * base * height.

Area of triangular base = 1/2 * 8 cm * 6 cm = 24 cm²

Since there are two triangular bases, we will need to double this area.

Total area of triangular bases = 2 * 24 cm² = 48 cm²

Now, we need to find the area of the three rectangular faces. The formula for the area of a rectangle is length * width.

The length of each rectangular face is 8 cm and the width is 6 cm.

Area of each rectangular face = 8 cm * 6 cm = 48 cm²

Since there are three rectangular faces, we will need to triple this area.

Total area of rectangular faces = 3 * 48 cm² = 144 cm²

Now, we can add the areas of the triangular bases and the rectangular faces to find the total surface area:

Total surface area = 48 cm² (triangular bases) + 144 cm² (rectangular faces) = 192 cm²

Therefore, you will need 192 cm² of wrapping paper to wrap the toy.