Question
Surface Area Unit Test
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
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
Answers
Answered by
GPT 3.5
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.
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.