Question

13 25 Which expression represents the volume, in cubic units, of the composite figure? (5²)(13) - (5³)(12) T (52) (13)-(5²) (25) (52) (13) + (52) (12) OT (52)(13) + (52) (25)​

Answer 1

-250 cubic units.

Explanation:

To find the volume of the composite figure represented by the given expression, you need to simplify it step by step.

(5²)(13) - (5³)(12) + (5²)(25) - (5²)(13) + (5²)(12)

Step 1: Calculate the values within parentheses:

(5²) = 5 * 5 = 25

So, the expression becomes:

(25)(13) - (5³)(12) + (25)(25) - (25)(13) + (25)(12)

Step 2: Calculate the multiplications:

(25)(13) = 325

(5³) = 5 * 5 * 5 = 125

(125)(12) = 1500

(25)(25) = 625

(25)(13) = 325

(25)(12) = 300

Now, substitute these values back into the expression:

325 - 1500 + 625 - 325 + 300

Step 3: Perform addition and subtraction:

325 + 625 + 300 = 1250

1250 - 1500 = -250

So, the simplified expression is -250 cubic units.