Solve.
-A paperweight is in the shape of a square-based pyramid 10 centimeters tall. If an edge of the base is $8 \frac { 1 } { 2 }$ centimeters, centimeters find the volume of the pyramid.
A) $240 \frac { 5 } { 6 } \mathrm { cu } \mathrm { cm }$
B) $722 \frac { 1 } { 2 } \mathrm { cu } \mathrm { cm }$
C) $240 \frac { 5 } { 6 } \pi \mathrm { cu } \mathrm { cm }$
D)2890 cu cm

Question

Solve.
-A paperweight is in the shape of a square-based pyramid 10 centimeters tall. If an edge of the base is $8 \frac { 1 } { 2 }$ centimeters, centimeters find the volume of the pyramid.
A) $240 \frac { 5 } { 6 } \mathrm { cu }  \mathrm { cm }$
B) $722 \frac { 1 } { 2 } \mathrm { cu }  \mathrm { cm }$
C) $240 \frac { 5 } { 6 } \pi \mathrm { cu }  \mathrm { cm }$
D)2890 cu cm

Quizplus · Accepted Answer

The volume of a pyramid is given by the formula $\frac{1}{3}Bh$, where $B$ is the area of the base and $h$ is the height. For a square base with side length $s = 8 \frac{1}{2}$ cm, the area of the base $B = s^2 = \left(8 \frac{1}{2}\right)^2 = 72.25 \, \text{cm}^2$. The height $h = 10$ cm. Thus, the volume $V = \frac{1}{3} \times 72.25 \times 10 = 240.83$ or $240 \frac{5}{6}$ cubic centimeters.

Solve -A Paperweight Is in the Shape of a Square-Based 8128 \frac { 1 } { 2 }821​

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-A Paperweight Is in the Shape of a Square-Based $8 \frac { 1 } { 2 }$