Calculate the Surface Area of a triangular-based prism with base dimensions 7 cm, 24 cm, 25 cm and prism length 60 cm.

here are the solutions to your problems:

Assessment 3

1. Calculate the Surface Area of each of the following triangular-based prisms.

a)
The diagram shows a triangular-based prism. Based on your calculation $24^2 + 7^2 = 25^2$, we will assume the base is a right-angled triangle with legs 7 cm and 24 cm, and a hypotenuse of 25 cm. The length of the prism is 60 cm. The labels 30 cm and 48 cm in the diagram are disregarded as they contradict the Pythagorean theorem with a 25 cm hypotenuse.

Step 1: Calculate the area of the two triangular bases.
Area of one base = $\frac{1}{2} \times \text{base} \times \text{height}$

$$A_{\text{base}} = \frac{1}{2} \times 7 \text{ cm} \times 24 \text{ cm} = 84 \text{ cm}^2$$

Area of two