Surface Area of Triangular Prisms Practice
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Question
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8cm, 8cm, 8cm,6.9cm, 6cm
What is the surface area of the triangular prism? Round the answer to the nearest tenth.
(1 point)
To find the surface area of the triangular prism, we first need to find the areas of each face and then add them all together.
The two triangular faces have a base of 8 cm and height of 6.9 cm, so the area of each triangular face is:
(1/2) * base * height
= (1/2) * 8 cm * 6.9 cm
= 27.6 cm^2
The three rectangular faces have dimensions 8 cm x 8 cm, 8 cm x 6 cm, and 6.9 cm x 6 cm, so the areas of these faces are:
8 cm * 8 cm = 64 cm^2 (two faces)
8 cm * 6 cm = 48 cm^2
6.9 cm * 6 cm = 41.4 cm^2
Now, we add up all the areas:
2 * 27.6 cm^2 + 64 cm^2 + 64 cm^2 + 48 cm^2 + 41.4 cm^2
= 55.2 cm^2 + 64 cm^2 + 48 cm^2 + 41.4 cm^2
= 208.6 cm^2
Therefore, the surface area of the triangular prism is approximately 208.6 square cm.
that wasnt the correct answer.
I apologize for the mistake. Let's try calculating the surface area again:
The two triangular faces have a base of 8 cm and a height of 6.9 cm. The area of each triangular face is:
(1/2) * base * height
= (1/2) * 8 cm * 6.9 cm
= 27.6 cm^2
The three rectangular faces have dimensions 8 cm x 8 cm, 8 cm x 6 cm, and 6.9 cm x 6 cm. The areas of these faces are:
8 cm * 8 cm = 64 cm^2 (two faces)
8 cm * 6 cm = 48 cm^2
6.9 cm * 6 cm = 41.4 cm^2
Now, we add up all the areas:
2 * 27.6 cm^2 + 64 cm^2 + 64 cm^2 + 48 cm^2 + 41.4 cm^2
= 55.2 cm^2 + 64 cm^2 + 64 cm^2 + 48 cm^2 + 41.4 cm^2
= 272.6 cm^2
Therefore, the surface area of the triangular prism is approximately 272.6 square cm.