Question

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Answer 1

Let’s begin with the triangular faces. Both faces have the same area because they are congruent! Just multiply the base and height and divide the answer by 2:

Area of triangular faces

= 1/2(base × height)

= 1/2(3 × 4) = 6 cm²

Next work out the area of the rectangular sides. Each side is a different size, and can be calculated by multiplying the length by the width:

Area of sloping rectangular side

= length x width

= 11 x 5

= 55 cm²

Area of back side

= 11 x 3

=33 cm²

Area of bottom side

= 11 x 4

= 44 cm²

All you need to do is total all these areas:

6 + 6 + 55 + 33 + 44 = 144 cm²

So the total surface area of this triangular prism is 144 cm²