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Find the total surface area of this prism where the cross-section is an isosceles triangle

Find the total surface area of this prism where the cross-section is an isosceles-example-1

2 Answers

6 votes

Answer:

620cm^2

Explanation:

User Jamie Eltringham
by
7.6k points
4 votes

Answer:

620 cm^2

Explanation:

Area of isosceles triangles:

A = (b×h) ÷ 2

Substitute

(24 × 5) ÷ 2

120 ÷ 2 = 60 cm^2

There are 2 triangles so:

60 × 2 = 120 cm^2

Area of 2 identical rectangles:

- They are identical and this is shown by the two short lines which indicates that this is an isosceles triangle. They have 2 identical sides.

A = L × W

Substitute

10 × 13 = 130

Because there are two:

130 × 2 = 260 cm^2

Area of rectangle at the bottom:

- Lets not forget the rectangle at the bottom of this shape.

A = L × W

Substitute

24 × 10 = 240 cm^2

Add these all together to get the total surface area:

120 + 260 + 240 = 620 cm^2

Answer: 620 cm^2

User Tabish Javed
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