Answers SSCR 26 Math Essentials BIntroduction to the Volume of a Sphere

Unit Test Answers

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Jerome found the lengths of each side of triangle QRS as shown, but did not simplify his answers. Simplify the lengths of each side to answer the question. Which statement about triangle QRS is true?

Triangle QRS is an equilateral triangle because QR = RS.

Triangle QRS is an isosceles triangle because QR = QS.

Triangle QRS is a scalene triangle because all sides have different lengths.

Triangle QRS is an isosceles triangle because QR = RS.

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Nikolas calculated the volume of the prism. His work is shown below.Nikolas’s Work:Where, if any, did Nikolas first make a mistake in his work?

Nikolas used the wrong measurements when finding the area of the base.

Nikolas used the wrong formula for the volume of the prism.

Nikolas made a computational error.

Nikolas did not make a mistake.

A popcorn container is the shape of an inverted cone. It is 9 inches tall, and the circular opening has a diameter of 4 inches. Which equation can be used to find the volume of the container?

V = one-third pi (2) squared (9)

V = one-third pi (4) squared (9)

V = one-third pi (4) (9) squared

V = one-third pi (2) (9) squared

The Candle Emporium is pouring cylindrical candles. Each candle has a radius of 5 inches and a height of 18 inches. Which formula represents the correct way to find the volume of a candle?

V = (5) (18)

V = pi (5) (18)

V = pi (18) squared (5)

V = pi (5) squared (18)

How is the volume of a prism calculated?

add the area of the base to the height

subtract the area of the base from the height

multiply the area of the base by the height

divide the area of the base by the height

Quadrilateral ABCD is shown on the grid.

Side CD has a length of units.

Side BC has a length of units.

Side DA has a length of 5 units.

Side AB has a length of 6 units.

What is the volume of the right triangular prism, in cubic meters? Round to the nearest cubic meter.

1,771

2,071

3,542

4,143

Laila is setting up a conical tent in the backyard. The height of the tallest part of the tent is 7 feet. The inside of the tent has a volume of 56 cubic feet. How many square feet are covered by the base of the tent?

Answer not available

The volume of a cone is cubic feet. Its height is 6 feet. In feet, what is the radius of the cone? Round the answer to the nearest tenth.

Answer not available

Which statement is true about the circumference of a circle?

The circumference is the measurement around the circle.

The circumference is the measurement of the radius.

The circumference is the measurement of the diameter.

The circumference is double the radius.

Layla is determining the area of the trapezoid. Her work is shown below. Step 1: Break the figure into rectangles and triangles. Step 2: Find the area of the rectangle: .Step 3: Find the area of the triangle: .Step 4: Add the areas together: square feet.Which best describes Layla’s error?

The height of the triangle in Step 1 should be 4 ft.

The area of the triangle in Step 3 should be .

The area of the triangle is Step 3 should be halved because there is only one triangle.

The areas in Step 4 should be multiplied instead of added.

Eugene knows the circumference of a circle is 125.6 meters. Does he have enough information to find the area?

Yes, because he could divide by 3.14 to find the diameter and then divide that result by 2 to find the radius. Once he has the radius, he can use the formula.

Yes, because the area will just be twice the circumference so all he has to do is multiply by 2.

No, because the circumference equals and there is no in 125.6.

No, because the circumference equals so he could only find the diameter. He needs the radius for the area formula.

Marina sells candles that are in the shape of cones. She makes a yellow candle that has a diameter of 4 inches and a height of 11 inches. She sells each candle at a price of $0.35 per cubic inch of wax. Which statements about the yellow candle are true? Check all that apply. Use 3.14 for .