Lesson 3 Take Another Spin Solidify Understanding

Ready

For problems 1–3, use the two spinners with equal-sized sections.

1.

Create a representation of the sample space created by spinning the first spinner followed by spinning the second spinner.

2.

Find the probability of the first spinner landing on blue and the second spinner landing on green.

3.

Find the probability of the first spinner landing on red and the second spinner landing on brown or gray.

For problems 4–6, four different colored marbles were pulled from a paper bag. The color of the marble was recorded, and then the marble was put back into the bag. There are $35$ marbles in the bag and the data for the color of the marble chosen is provided in the table.

Marble Color	Frequency of Selection
blue	$32$
green	$56$
red	$22$
yellow	$71$

4.

What is the probability of selecting a green marble?

5.

What is the probability of selecting a red marble?

6.

Based on the frequency that each marble was selected, how many of each color of marble would you predict are actually in the bag?

Set

The picture shown is of the Washington Monument in Washington, DC. The shaft of the monument is a square frustum. The bottom square measures $55 feet$ on a side, and the top square measures $34.5 feet$ . The top is a square pyramid.

7.

Find the length of the sides and the altitude of the $4$ triangular faces of the pyramid.

(Height of pyramid is $55.5 ft$ )

8.

Find the area of each face of the pyramid.

9.

Find the area of the $4 ‌$ trapezoids that make the faces of the frustum. The area of a trapezoid: $A = \frac{b_{1} + b_{2}}{2} h$

10.

Find the total surface area of the Washington Monument.

11.

Find the total volume of the Washington Monument.

Volume of a square frustum: $V = \frac{1}{3} h (a^{2} + a b + b^{2})$ where $a$ and $b$ are the side lengths of each square.

Volume of pyramid: $V = \frac{1}{3} l^{2} h$

12.

Draw a sketch of the 3-D object formed by rotating the figure about the $x$ -axis.

Go

Use the given information and what you know about triangles to find the measure of the missing angles in the triangles.

Lesson 3 Take Another Spin Solidify Understanding

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