Question

volume is measured using squared units.
true
false

6 multiple choice 1 point
what is the formula to find volume?
\\(v = l + w + h\\)
\\(v = l \times w \times h\\)
none of the above
\\(v = b \times h\\)

7 multiple choice 1 point
what is the formula to find the volume of a pyramid?
\\(v = 3(b \times h)\\)
\\(v = (b \times h)^3\\)
\\(v = \frac{1}{3}(b \times h)\\)
\\(v = \frac{1}{2}(b \times h)\\)

8 multiple choice 1 point
find the volume of the prism using the given measurements.
image of a rectangular prism with dimensions 5 cm, 6 cm, and 4 cm
15 \\(\text{cm}^3\\)
120 \\(\text{cm}^3\\)
210 \\(\text{cm}^3\\)

Explanation:

Analyze the unit of volume measurement

$$ \text{Volume} = \text{length} \times \text{width} \times \text{height} \implies \text{units}^3 \quad (\text{cubic units, not squared units}) $$

Determine the general formula for volume of a rectangular prism

$$ V = L \times W \times H $$

Determine the formula for the volume of a pyramid

$$ V = \frac{1}{3} \times \text{base area} \times \text{height} = \frac{1}{3}(b \times h) $$

Calculate the volume of the given rectangular prism

$$ V = 6\text{ cm} \times 4\text{ cm} \times 5\text{ cm} = 120\text{ cm}^3 $$

Answer:

Question 1

• True
• False (Correct answer)

Question 2

• \(V = L + W + H\)
• \(V = L \times W \times H\) (Correct answer)
• None of the above
• \(V = B \times H\)

Question 3

• \(V = 3(b \times h)\)
• \(V = (b \times h)^3\)
• \(V = \frac{1}{3}(b \times h)\) (Correct answer)
• \(V = \frac{1}{2}(b \times h)\)

Question 4

• \(15\text{ cm}^3\)
• \(120\text{ cm}^3\) (Correct answer)
• \(210\text{ cm}^3\)