Question

determine the volume:

hint: use the formula sheet to determine the formula(s) needed to solve the problem.

• length: \\(15\text{ m}\\)
• width: \\(3\text{ m}\\)
• height: \\(4\text{ m}\\)

a. \\(234\text{ m}^3\\)
b. \\(180\text{ m}^3\\)
c. \\(27\text{ m}^3\\)
d. \\(22\text{ m}^3\\)

Explanation:

🆕 New Concept Discovered: Volume of Rectangular Prisms
Space inside a 3D box shape

Step 1: Identify the dimensions

The given shape is a rectangular prism (a 3D box) with the following dimensions:

• Length (\(l\)) = \(15\text{ m}\)
• Width (\(w\)) = \(3\text{ m}\)
• Height (\(h\)) = \(4\text{ m}\)

Step 2: Apply the volume formula

The volume (\(V\)) of a rectangular prism is calculated by multiplying its length, width, and height:

$$ V = l \times w \times h $$

Substitute the given values into the formula:

$$ V = 15\text{ m} \times 3\text{ m} \times 4\text{ m} $$

Step 3: Calculate the final value

Multiply the numbers:

$$ 15 \times 3 = 45 $$

$$ 45 \times 4 = 180 $$

So, the volume is:

$$ V = 180\text{ m}^3 $$

This matches option B.

Answer:

B (180 m³)