Question

what is the shape of the base of a pyramid?
a. sphere
b. circle
c. ellipse
d. polygon
which type of pyramid has a rectangular base?
a. octahedron
b. hexagonal pyramid
c. tetrahedron
d. square pyramid
a triangular pyramid has a base area of 36 square centimeters and a height of 14 centimeters. what is the pyramid’s volume?
a. 189m³
b. 108m³
c. 168m³
d. 252m³
where do the triangular faces of a pyramid meet?
a. edge
b. center
c. apex
d. edge

Explanation:

Step1: Solve first pyramid base question

A pyramid's base is a flat, closed polygon.

Step2: Solve rectangular base pyramid question

A square is a type of rectangle, so a square pyramid has a rectangular base.

Step3: Calculate triangular pyramid volume

Recall volume formula: $V=\frac{1}{3}Bh$, where $B=36\ \text{cm}^2$, $h=14\ \text{cm}$.
Expression: $V=\frac{1}{3} \times 36 \times 14$

Step4: Solve triangular faces meeting question

The triangular faces of a pyramid converge at a single apex point.

Answer:

1. d. Polygon
2. d. Square pyramid
3. $V=\frac{1}{3} \times 36 \times 14 = 168\ \text{cm}^3$, so c. $168\text{cm}^3$
4. c. Apex