Question

Please help as soon as possible

Answer 1

Answer and Explanation:

The general form for the volume of a prism is:

$V=A_\text{base} \times h$

We can apply this equation to both of the given prisms by plugging in the given heights and base areas:

Left Prism

$24 = A_\text{base} \times 6$

↓ dividing both sides by 6

$\boxed{A_\text{base} = 4\text{ units}^2}$

Right Prism

$24 = A_\text{base} \times 8$

↓ dividing both sides by 8

$\boxed{A_\text{base} = 3\text{ units}^2}$

Answer 2

Answer:

a) 4 square units

b) 3 square units

Step-by-step explanation:

To find the area of a trapezoidal base of each prism, we can use the formula for the volume of a prism, which is:

Volume = Base Area × Height

We can solve for the base area by rearranging this formula to:

Base Area=Volume/Height

Given that the volume of both prisms is 24 cubic units, we can find the area of the trapezoidal base for each prism by dividing the volume by the respective height of each prism.

The area of the trapezoidal base for the prism with a height of 6 units is 4 square units, and for the prism with a height of 8 units, it is 3 square units. ​

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