Exploring Volume and Surface Area Concepts

The video tutorial covers the concepts of volume and surface area, focusing on rectangular prisms and cylinders. It explains the use of a formula sheet, detailing the meaning of various abbreviations. The tutorial provides step-by-step calculations for finding the volume and surface area of both shapes, using examples and word problems to illustrate the application of formulas.

What does the letter 'B' stand for in the context of three-dimensional shapes?

• Height of the shape

• Slant height of the shape

• Perimeter of the base

• Area of the base

Tags

CCSS.7.G.B.6

In the context of a cylinder, what does 'r' represent?

• Radius

• Slant height

• Perimeter

• Height

What does the height (H) represent in a three-dimensional shape?

• The vertical distance from the peak to the base

• The distance around the base

• The length of the base

• The slant from the peak to the base

Tags

CCSS.7.G.A.3

What is the formula for calculating the volume of a rectangular prism?

• Length + Width + Height

• Length x Width x Height

• 2(Length + Width + Height)

• 2(Length x Width + Width x Height)

Tags

CCSS.7.G.B.6

If a rectangular prism has a length of 6, width of 9, and height of 11 miles, what is its volume?

• 945 cubic miles

• 126 cubic miles

• 594 cubic miles

• 526 cubic miles

Tags

CCSS.7.G.B.6

How do you calculate the surface area of a rectangular prism?

• 2(l + w + h)

• lwh

• 2lw + 2lh + 2hw

• lw + lh + hw

Tags

CCSS.7.G.B.6

What is the formula to find the volume of a cylinder?

• πr^2h

• 2πr + h

• πr^2 + h

• 2πr^2 + 2πrh

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Which formula is used to calculate the surface area of a cylinder?

• 2πr^2 + 2πrh

• πr(h + 2r)

• πr^2h

• 2πrh

For a cylinder with a radius of 2 and height of 9, what is the volume?

• 72π cubic units

• 18π cubic units

• 36π cubic units

• 113.04 cubic units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of a cylindrical tank with a radius of 18.8 feet and depth of 24 feet?

• 26,635.24 cubic feet

• 8,848.08 cubic feet

• 12,566.96 cubic feet

• 18,848.72 cubic feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3