A prism with a square base of side length 5 cm is constructed in layers. Its height follows an arithmetic progression, increasing from 4 cm in the first layer to 16 cm in the fourth layer. What is the total volume of the prism?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 1000 cm3.
Volume of a layer = Base area × Height of that layer
Square base side 5 cm, Heights are 4 cm, 8 cm, 12 cm, and 16 cm
Base area = 52 = 25 cm2
Volume = 25 × (4 + 8 + 12 + 16) = 25 × 40 = 1000 cm3