📚 Bookshelf Beam Challenge

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Type In Game

Calculate the Total Surface Area of the Triangular Prism Beam

Sipho is helping his uncle build a wooden bookshelf. One of the support beams is in the shape of a right triangular prism to fit neatly under a slanted shelf. The triangular end of the beam has a base of 12 cm, height of 9 cm, the hypotenuse is 15 cm and the length of the beam is 100 cm. He painted the beam evenly, calculating the total surface area in cm² of the wood.

12 cm 9 cm 15 cm 100 cm Support Beam
Given:
Base of triangle = 12 cm
Height of triangle = 9 cm
Hypotenuse = 15 cm
Prism length = 100 cm
Formula:
TSA = 2 × Triangle + 3 × Rectangles
Triangle = (1/2) × 12 × 9
Rectangles = 12×100 + 9×100 + 15×100
Calculate the total surface area in cm² of the wooden beam.
Type in the correct response for the following question in the box provided:
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