Shapes, Perimeter, and Area

Calculate the area of a circle with radius 5cm.

• 25π sq cm or approximately 78.54 sq cm

• 20π sq cm or approximately 62.83 sq cm

• 15π sq cm or approximately 47.12 sq cm

• 10π sq cm or approximately 31.42 sq cm

Answer explanation

The correct choice is 25π sq cm or approximately 78.54 sq cm. The formula for the area of a circle is A = πr^2, where r is the radius. Substituting r = 5cm, we get A = π(5)^2 = 25π sq cm or approximately 78.54 sq cm.

Tags

CCSS.7.G.B.4

Calculate the area of a square with side length 10cm.

• 100 sq cm

• 80 sq cm

• 120 sq cm

• 150 sq cm

Answer explanation

To calculate the area of a square, you square the length of one side. In this case, 10cm * 10cm = 100 sq cm. Therefore, the correct answer is 100 sq cm.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

Calculate the perimeter of a rectangle with sides 4cm and 9cm.

• 26cm

• 30cm

• 22cm

• 36cm

Answer explanation

To calculate the perimeter of a rectangle, we use the formula 2*(length + width). Given sides are 4cm and 9cm, so the perimeter = 2*(4+9) = 2*13 = 26cm.

Tags

CCSS.4.MD.A.3

Calculate the area of a rectangle with length 6cm and width 9cm.

• 54 sq cm

• 45 sq cm

• 36 sq cm

• 27 sq cm

Answer explanation

To calculate the area of a rectangle, multiply the length by the width. In this case, 6cm x 9cm = 54 sq cm. Therefore, the correct answer is 54 sq cm.

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

How many edges does a cube have?

• 10

• 6

• 8

• 12

Answer explanation

A cube has 12 edges. Each face of a cube has 4 edges, and there are 6 faces in total, so the total number of edges is 4 * 6 = 12.

Tags

CCSS.6.G.A.4

Calculate the perimeter of a rectangle with sides 5cm and 8cm.

• 40cm

• 26cm

• 15cm

• 30cm

Answer explanation

To calculate the perimeter of a rectangle, add all sides. Perimeter = 2*(length + width) = 2*(5cm + 8cm) = 2*(13cm) = 26cm. Therefore, the correct answer is 26cm.

Tags

CCSS.4.MD.A.3

What is the formula to calculate the area of a circle?

• A = r^2

• A = 2πr

• A = 0.5πr^2

• A = πr^2

Answer explanation

The correct formula to calculate the area of a circle is A = πr^2, where A represents the area and r is the radius of the circle.

Tags

CCSS.7.G.B.4

How many faces does a rectangular prism have?

• 4

• 10

• 8

• 6

Answer explanation

A rectangular prism has 6 faces: 1 top face, 1 bottom face, and 4 side faces. Therefore, the correct answer is 6.

Tags

CCSS.6.G.A.4

Find the circumference of a circle with radius 4cm.

• 16π cm or approximately 50.27 cm

• 8π cm or approximately 25.13 cm

• 6π cm or approximately 18.85 cm

• 12π cm or approximately 37.70 cm

Answer explanation

The circumference of a circle is calculated using the formula 2πr. Substituting r=4cm, we get 2π*4 = 8π cm or approximately 25.13 cm.

Tags

CCSS.7.G.B.4

Which shape has all sides and angles equal?

• Square

• Rectangle

• Circle

• Triangle

Answer explanation

A square has all sides and angles equal, making it the shape with these properties.

Tags

CCSS.5.G.B.4