STAAR Review - Day 2

A sphere and its dimension are shown in the diagram.

Which measurement is closest to the volume of the sphere in cubic inches?

• 1,325.4 in.³

• 188.5 in.³

• 94.2 in.³

• 1,767.1 in.³

Figure I and Figure II are similar figures.

Which proportion must be true?

• $\frac{RS}{AB}=\frac{TU}{CD}$

• $\frac{TU}{AB}=\frac{UV}{AF}$

• $\frac{ST}{EF}=\frac{WR}{CD}$

• $\frac{WV}{AB}=\frac{ST}{EF}$

The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which measurement is closest to the length of this rectangle in feet?

• 9 ft

• 17ft

• 12.4 ft

• 13.6 ft

A silo is a building shaped like a cylinder used to store grain. The diameter of a particular silo is 6.5 meters, and the height of the silo is 12 meters.

Which equation can be used to find V, the volume of this silo in cubic meters?

• $V\ =\pi\left(3.25\right)^2\left(12\right)$

• $V=\pi\left(6.5\right)^2\left(12\right)$

• $V=\pi\left(12\right)^2\left(3.25\right)$

• $V=\pi\left(6\right)^2\left(6.5\right)$

A can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters. Which measurement is closest to the total surface area of the can in square centimeters?

• 603.19 cm²

• 245.04 cm²

• 376.99 cm²

• 188.50 cm²

The diagram shows three squares that are joined at vertices to form a right triangle.

Which statement is true?

• The sum of the areas of Square N and Square L is equal to the area of Square K.

• The sum of the areas of Square N and Square L is greater than the area of Square K.

• The sum of the areas of Square N and Square K is equal to the area of Square L.

• The sum of the areas of Square N and Square K is less than the area of Square L.

The height of a cylinder is 5 centimeters. The circumference of the base of the cylinder is 16 centimeters.

Which measurement is closest to the volume of the cylinder in cubic centimeters?

• 251.3 cm³

• 4,021.2 cm³

• 1,005.3 cm³

• 628.3 cm³

The side lengths of the base of a triangular prism are 5 meters, 8 meters, and 10 meters. The height of the prism is 16.5 meters.

What is the lateral surface area of the prism in square meters?

• 330

• 379.5

• 399.5

• 419.5

Four triangles are shown. One side of each triangle lies on a ray, and the triangles are not drawn to scale.

Based on these triangles, which statement about x is true?

• x = 160, because 180 - (130 + 30) = 20 and 180 - 20 = 160

• x = 20, because 130 + 30 = 160 and 180 - 160 = 20

• x = 80, because 180 130 = 50 and 50 + 30 = 80

• x = 340, because 130 + 30 = 160 and 160 + 180 = 340

The length of a rectangular frame is 15 inches, and the width of the frame is 8 inches. What is the length of a diagonal of this frame in inches?

• 289 inches

• 14 inches

• 17 inches

• 120 inches