Question

reviewing volume formulas
which solid figures have their volumes calculated using the formula $v = \frac{1}{3}bh$, where $b$ is the area of the base and $h$ is the height? check all that apply.
\\(\square\\) right cone
\\(\square\\) oblique cylinder
\\(\square\\) hexagonal pyramid
\\(\square\\) rectangular prism
\\(\square\\) sphere
\\(\square\\) triangular prism

Explanation:

The formula $V=\frac{1}{3}Bh$ is used for the volume of pyramids and cones, where $B$ is the base area and $h$ is the height.

• A right cone is a cone, so it uses this formula.
• An oblique cylinder uses $V=Bh$, no $\frac{1}{3}$ factor.
• A hexagonal pyramid is a pyramid, so it uses this formula.
• Rectangular and triangular prisms use $V=Bh$, no $\frac{1}{3}$ factor.
• A sphere uses $V=\frac{4}{3}\pi r^3$, a different formula.

Answer:

right cone, hexagonal pyramid