Question

В основании прямой призмы лежит трапеция с основаниями 9 и 15 см и высотой 5 см, боковое ребро 10 см. Найти объём призмы.

Answer 1

V=S*h, S трапеции=(основание1+основание2) * высота/2=(9+15)*5/2=60
h = 10 - высота призмы
V= 60*10=600

Answer 2

Calculation of the Prism Volume

To find the volume of the prism, we need to multiply the area of the base by the height of the prism. In this case, the base of the prism is a trapezoid with bases measuring 9 cm and 15 cm, and a height of 5 cm. The lateral edge of the prism is given as 10 cm.

Let's calculate the volume step by step:

1. Calculate the area of the trapezoid base: - The formula for the area of a trapezoid is A = (a + b) * h / 2, where a and b are the lengths of the bases and h is the height. - Plugging in the values, we have A = (9 + 15) * 5 / 2 = 12 * 5 / 2 = 30 square centimeters.

2. Calculate the volume of the prism: - The formula for the volume of a prism is V = A * h, where A is the area of the base and h is the height. - Plugging in the values, we have V = 30 * 10 = 300 cubic centimeters.

Therefore, the volume of the prism is 300 cubic centimeters.