Mathematics: Find the surface area of a right triangle prism with legs measuring 3 and 4 and a height of 10. a. 130 b. 132 c. 144 d. 140

Find the surface area of a right triangle prism

Ответ:

allisonpinegar7830

13.03.2022

Since we have a rectangle triangle, then we can find the other side of the triangle using the Pythagorean theorem.
We have then:
$L = \sqrt{3^2+4^2}$
$L = \sqrt{9+16}$
$L = \sqrt{25}$
L = 5

Then the surface area is given by the sum of the areas.
Triangle of the base and the top:
A1 = (1/2) * (4) * (3)

A1 = 6

Rectangle 1:
A2 = (3) * (10)

A2 = 30

Rectangle 2:
A3 = (4) * (10)

A3 = 40

Rectangle 3:
A4 = (5) * (10)

A4 = 50

Finally, the surface area is:
A = 2A1 + A2 + A3 + A4

Substituting values:
A = 2 * (6) + 30 + 40 + 50

A = 132

The surface area of a right triangle prism is:
B. 132

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Ответ:

smithsa10630

06.01.2021

Mathematics

2:1
I think
not exactly certain

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Find the surface area of a right triangle prism with legs measuring 3 and 4 and a height of 10. a. 130 b. 132 c. 144 d. 140

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