A glass manufacturer designs prism-shaped display tanks for exotic fish. Each tank is in the shape of a right prism with a trapezium as the base. The parallel sides of the trapezium are 18 cm and 12 cm, and the distance between them is 10 cm. The height of the prism (tank) is 50 cm. If the company produces 25 such tanks, what is the total volume of glass used in all the tanks?
Show answer & explanation
Correct answer: B
Explanation
Given:
Parallel sides = 18 cm, 12 cm
Distance between them = 10 cm
Height of the prism = 50 cm
Number of tanks = 25
Formula:
Area of the trapezoid = 1/2 × (a + b) × h
Volume of the prism = Base area × Height
Base area = 1/2 × (18 + 12) × 10 = 150 cm²
Volume of one tank = 150 × 50 = 7500 cm³
Volume of 25 tanks = 7500 × 25 = 187500 cm³