Volume and Cross Sections

What is the exact volume of the pyramid?

• 48 cm³
• 144 cm³
• 288 cm³
• 96 cm³

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

Determine the exact volume of the figure.

• 144 cm³
• 96 cm³
• 288 cm³
• 48 cm³

Determine the approximate height of a cone with volume 124 in³ and radius 7 in.

• 2.4 in
• 7.6 in
• 16.9 in
• 8.1 in

Tags

CCSS.HSG.GMD.A.3

Determine the approximate height of a cone with volume 124 in³ and radius 7 in.

• 2.4 in
• 7.6 in
• 16.9 in
• 8.1 in

What is the radius of a cylinder with volume 300π cm³ and height 12 cm?

• 12.5 cm
• 5√3 cm
• 25 cm
• 5 cm

Tags

CCSS.HSA.CED.A.4

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

Which of the following describes a vertical cross section directly through the center of this cylinder?

• a 4 in x 10 in rectangle
• an 8 in x 10 in rectangle
• a circle with diameter 8 in
• a circle with diameter 10 in

Tags

CCSS.HSG.GPE.A.1

The triangle is rotated around the indicated axis.  What  is the volume of the resulting figure?

• 75π cm³
• 225π cm³
• 135π cm³
• 405π cm³

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.2

CCSS.HSG.GMD.A.3

What is true about a cross section that is parallel to the base of a pyramid?

• It will be a triangle.
• It will be a trapezoid.
• It will be congruent to the base.
• It will be the same shape as the base.

Describe the cross section.

• circle
• oval
• semi-circle
• trapezoid

Tags

CCSS.HSG.GMD.B.4

Is it possible for a cross section of a cylinder to have a triangular shape?

• yes
• no
• sometimes

Tags

CCSS.HSG.GMD.B.4