Volume of PYRAMIDS

A triangular pyramid has an isosceles triangular base. The base of the triangle is 12 inches, the height of the triangle is 16 inches, and the height of the pyramid is 4.8 inches.

How would you find the volume of the pyramid?

• 1/3 x Base Area X height of the pyramid

• Base X height of the triangle

A triangular pyramid has an isosceles triangular base. The base of the triangle is 12 inches, the height of the triangle is 16 inches, and the height of the pyramid is 4.8 inches.

What is the shape of the base in this question?

• Isosceles Triangle

• Triangular Pyramid

• Rectangle

A triangular pyramid has an isosceles triangular base. The base of the triangle is 12 inches, the height of the triangle is 16 inches, and the height of the pyramid is 4.8 inches.

What is the formula for calculating the area of a triangle?

• Area of a triangle = $\frac{1}{2\ }\ base\ \times\ height$

• Area of a triangle = base x height

• Area of a triangle = length x width

A triangular pyramid has an isosceles triangular base. The base of the triangle is 12 inches, the height of the triangle is 16 inches, and the height of the pyramid is 4.8 inches.

What is the 'base area' here? 

• 96  $in^2$  

• 192  $in^2$  

• 57.6  $in^2$  

A triangular pyramid has an isosceles triangular base. The base of the triangle is 12 inches, the height of the triangle is 16 inches, and the height of the pyramid is 4.8 inches.

What is the VOLUME of the pyramid in cubic inches? 
Reference Material  $V\ =\ \frac{Base\ area\ \times\ h}{3}$  
(BENCHMARK QUESTION)

• 460.8  $in^3$  

• 96  $in^3$  

• 921.6  $in^3$  

• 153.6  $in^3$  

Find the volume of the figure.

• 1,800 cm³
• 900 cm³
• 600 cm³
• 750 cm³

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

Find the volume of the figure.

• 126 cm³
• 907.5 cm³
• 605 cm³
• 55 cm³

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CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

What is the formula for the VOLUME of a PYRAMID?

• ¹/₂pl
• ⁴/₃(pi)r³
• ¹/₃Bh
• ¹/₃(pi)r²h

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

On a trip to Oregon, Sabrina bought a small stone in the shape of a square pyramid as a souvenir. Determine the volume of the stone. Round to the nearest tenth. 

• 4.5 in ³
• 6 in ³
• 6.75 in ³
• 1.5 in ³

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3

Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.

• 216 yd³
• 108 yd³
• 72 yd³
• 36 yd³

Tags

CCSS.HSG.GMD.A.1

CCSS.HSG.GMD.A.3