Question

a horizontal line se expression for the rectangular prisms write an (12×9×12)+(7×5×12) (12×12×9)+(5×12×4) (9×4×5)+(12×7×5) (9×5×4)+(12×12×4) (12×12×4)+(7×12×5) (7×9×4)+(5×5×12) the expression is 5 ft 12 ft 7 ft 5 ft 9 ft 4 ft 12 ft 12 ft

Explanation:

Step1: Split into two prisms

Identify the two rectangular prisms:

1. Tall prism: dimensions $12\ \text{ft} \times 7\ \text{ft} \times (9-4)=5\ \text{ft}$
2. Low prism: dimensions $12\ \text{ft} \times 12\ \text{ft} \times 4\ \text{ft}$

Step2: Calculate volume of each prism

Volume of tall prism: $12 \times 7 \times 5$
Volume of low prism: $12 \times 12 \times 4$

Step3: Sum the two volumes

Total volume = (Volume of low prism) + (Volume of tall prism)

Answer:

$(12 \times 12 \times 4)+(7 \times 12 \times 5)$