Question

Find the lateral area of the right prism with height 0.3 dm, if the base of the prism is Isosceles trapezoid with bases of 3 cm and 5 cm, and legs of 4 cm;

Answer 1

48 cm²

Explanation:

The lateral area (L) of a trapezoidal prism is the area of the four rectangles that connect the top and bottom trapezoids.

The four rectangles make one large rectangle with length equal to the sum of the four sides — the perimeter (p).

1. Convert the height to centimetres

`h = \text{0.3 dm} * \frac{\text{10 cm}}{\text{1 dm}} = \text{3 cm}`

2. Calculate the perimeter

p = 3 cm + 4 cm + 5 cm + 4 cm = 16 cm

3. Calculate the lateral area

L = ph = 16 cm × 3 cm = 48 cm²

The lateral area of the prism is 48 cm².