WILL GIVE THE BRAINLEST Find the surface area of the triangular prism

Mathematics

1 answer:

OLEGan [10]3 years ago

3 0

Answer:

<h2>Surface Area = 267 in² </h2><h2>V = 162 in³</h2>

Step-by-step explanation:

The surface area consists of 3 rectangles of the sides, and the two base triangles.

The front rectangle has dimensions of 12x9, so it's area is 108 in²

The back rectangle has dimensions of 7x12, so it's are is 84 in²

The side rectangle has dimensions of 4x12, so it's area is 48 in²

The top and bottom triangles have a base of 9 and a height of 3, so their area is

A = (1/2)(9)(3) = 27/2, but there are 2 of them, so their combined area is (27/2)(2) = 27 in²

The total surface area is 108 + 84 + 48 + 27 = 267 in²

The formula for volume of a triangular prism is

V = (1/2)bhd where b is the base of the base triangle, h is the height of the base triangle, and d is the depth of prism.

We have b = 9, h = 3, and d = 12, so the volume is

V = (1/2)(9)(3)(12)

V = (1/2)(27)(12)

V = (1/2)(324)

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Answer:

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Step-by-step explanation:

In this question, we are tasked with calculating the length of the second diagonal of as Rhombus given the measure of the surface area of the rhombus and the length of the other diagonal

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