Question

mr. chin drew a design for an outdoor kitchen. the food prep area will be on a rectangular platform made of concrete that is 5 feet high. the storage shelf will be on a similar platform that is 8 feet high. what will be the total volume of the platforms? enter your answer in the box. 3 ft, 6 ft (storage shelf), 3 ft (food prep), 8 ft

Explanation:

Step1: Find base area of storage shelf

First, calculate the length of the storage shelf's base: $8 - 3 = 5$ ft.
Base area of storage shelf: $5 \times 3 = 15$ ft²

Step2: Find base area of food prep

Base area of food prep: $3 \times 3 = 9$ ft²

Step3: Calculate volume of storage shelf

Volume = base area × height: $15 \times 6 = 90$ ft³

Step4: Calculate volume of food prep

Volume = base area × height: $9 \times 5 = 45$ ft³

Step5: Sum total volume

Add the two volumes together: $90 + 45 = 135$ ft³

Answer:

$135$