Calculate the volume of a hexagonal prism with a base area of 37 cm2 and a height of 12 cm.

Step 1: Identify the given dimensions for the hexagonal prism. The area of the hexagonal base is given as 37 cm². The height of the prism is given as 12 cm. Step 2: Recall the formula for the volume of a prism. The volume V of any prism is calculated by multiplying its base area A by its height h. V = A × h Step 3: Substitute the given values into the formula and calculate the volume. V = 37 cm² × 12 cm; V = 444 cm³ The volume of the hexagonal prism is 444 cm³.

Calculate the volume of a hexagonal prism with a base area of 37 cm2 and a height of 12 cm.

Step 1: Identify the given dimensions for the hexagonal prism. The area of the hexagonal base is given as 37 cm². The height of the prism is given as 12 cm. Step 2: Recall the formula for the volume of a prism. The volume V of any prism is calculated by multiplying its base area A by its height h. V = A × h Step 3: Substitute the given values into the formula and calculate the volume. V = 37 cm² × 12 cm; V = 444 cm³ The volume of the hexagonal prism is 444 cm³.

Solved: Calculate the volume of a hexagonal prism with a…

Identify the given dimensions for the hexagonal prism.
The area of the hexagonal base is given as $37 \text{ cm}^2$ .
The height of the prism is given as $12 \text{ cm}$ .
Recall the formula for the volume of a prism.
The volume $V$ of any prism is calculated by multiplying its base area $A$ by its height $h$ .
$V = A \times h$
Substitute the given values into the formula and calculate the volume.
$V = 37 \text{ cm}^2 \times 12 \text{ cm}$ $V = 444 \text{ cm}^3$
The volume of the hexagonal prism is $\text{444 cm}^3$ .

Calculate the volume of a hexagonal prism with a base area of 37 cm2 and a height of 12 cm.

Answer

Step-by-step solution

Identify the given dimensions for the hexagonal prism.

Recall the formula for the volume of a prism.

Substitute the given values into the formula and calculate the volume.

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