Triangle and Rectangle Measurements

This tutorial explains how to find the surface area of a right triangular prism. It begins by labeling the sides of the prism's net, identifying the hypotenuse, and calculating the surface area using the net and individual shapes. An alternative strategy is also presented, viewing the rectangles as one large rectangle and forming a parallelogram with the triangles. The total surface area is calculated to be 252 square cm using both methods.

What are the given lengths of the triangular face in the problem?

• 9, 12, 15 cm

• 8, 10, 12 cm

• 5, 12, 13 cm

• 7, 24, 25 cm

What is the width of each rectangle in the prism?

• 6 cm

• 5 cm

• 4 cm

• 3 cm

Which side of a right triangle is always the longest?

• Base

• Hypotenuse

• Opposite

• Adjacent

What is the length of the hypotenuse in the given triangle?

• 9 cm

• 12 cm

• 15 cm

• 18 cm

How do the edges of the rectangle relate to the triangle in the prism net?

• They are equal to the triangle's base.

• They are longer than the triangle sides.

• They are equal to the triangle's hypotenuse.

• They are shorter than the triangle sides.

What is the length of the shorter side of the triangle?

• 18 cm

• 9 cm

• 12 cm

• 15 cm

What is the length of the longer side of the triangle?

• 9 cm

• 18 cm

• 15 cm

• 12 cm

What shape is formed by combining the two triangular surfaces?

• Square

• Rectangle

• Circle

• Parallelogram

What is the area of the rectangle formed by the two triangles?

• 72 square cm

• 108 square cm

• 54 square cm

• 144 square cm

What are the dimensions of the top rectangle in the prism?

• 4 by 9

• 4 by 12

• 4 by 15

• 4 by 18