Question

A triangular prism has equilateral triangular base of side 6 cm. Its volume is 90√3 cm^3.Find its TSA.

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Answer 1

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hope the above attachment will help you.

Answer 2

The hypotenuse length of

10

is calculated based on the Pythagorean Theorem:

√

6

2

+

8

2

Since we were asked to use a perimeter construct in calculating the surface area, we might note that the vertical surface area is:

perimeter of right-triangular base

×

prism height

=

24

×

5

=

120

The total surface area is the vertical surface area plus the area of the top and the bottom right triangles:

120

+

6

×

8

2

+

6

×

8

2

=

168

(sq.cm.)

The volume of a prism is the area of its base times its height:

6

×

8

2

×

5

=

120

(cu.cm.)