Escape Room Challenge B

Two similar triangles are shown below.

Which proportion could represent the relationship between the length of sides a and b between the original triangle and the similar triangle?

• 5/7 = 15/20 (secret letter d)

• 5/7 = 20/22 (secret letter f)

• 5/7 = 21/15 (secret letter g)

• 5/7 = 15/21 (secret letter e)

A circle has a circumference of 15.7 centimeters. Which equation below can be used to find d, the diameter of the circle?

• 15.7/π = d (secret letter L)

• d = 15.7/r (secret letter o)

• d = 2 x π x 15.7 (secret letter p)

• d = 15.7/2π (secret letter n)

If the height of the rectangular pyramid is 8 inches, what is its volume?

• 40 in³ (secret letter z)

• 960 in³ (secret letter m)

• 320 in³ (secret letter a)

• 410 in³ (secret letter y)

The diameter of a circle is 12 centimeters. Which answer choice below accurately describes the relationship between the area and the circumference of this circle?

• The area of the circle is approximately 8 times greater than the circumference.

• The area of the circle is approximately 3 times greater than the circumference.

• The circumference of the circle is approximately 1/8 of its area.

• The circumference of the circle is approximately 4 times greater than the area.

The dimensions of a sports track are shown in the diagram.

If the sports track is formed by a rectangle and 2 semi-circles, what is the approximate area of the sports track?

• 508.68 m² (secret letter p)

• 12,070 m² (secret letter q)

• 283.04 m (secret letter r)

• 4,077 m² (secret letter t)

A rectangular prism has a volume of 90 in³. The area of the base is 18 square inches. What is the height of the rectangular prism?

• 2.5 in (secret letter b)

• 6 in (secret letter p)

• 5 in (secret letter r)

• 3 in (secret letter f)

The relationship between cups, pints, and quarts is shown in the table.

Based on the information in the table, which statement is NOT true?

• to convert cups to quarts divide by 2

• 1/2 of a quart is equal to 1 pint and 2 cups

• ton convert pints to cups multiply by 2

• every 2 quarts of liquid contains 8 cups

Look that the triangular prism.

Which equation uses the dimensions of the triangular prism's net to calculate the total surface area?

• 2 x (5 x 5.5) + 2 x (5 x 10)

• 1/2(5 x 5.5) x 10

• 5 x 5 x 5 x 5.5 x 10

• 1/2(5 x 5.5) + 1/2(5 x 5.5) + (5 x 10) + (5 x 10) + (5 x 10)

An isosceles triangle has base angles that measure 32°. Which equation can be used to find y, the measure of the third angle of this isosceles triangle in degrees?

• 64 + 2y = 180 (secret letter b)

• 32 + y = 180 (secret letter c)

• 64 + y = 180 (secret letter a)

• 32 + 32 + 180 = y (secret letter d)

What is the volume of the figure?

• 104 cm³ (secret letter h)

• 312 cm³ (secret letter L)

• 624 cm³ (secret letter j)

• 567 cm³ (secret letter k)