Volume and Area Calculations

This video tutorial, led by Mr. Hul, covers lesson 14 on volume in the real world. It includes examples and exercises on calculating volume for various shapes, such as sandboxes, rectangular prisms, and composite figures. The tutorial emphasizes using formulas to determine missing measurements and solve real-world problems involving volume.

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

• Volume = Length + Width + Height

• Volume = Length x Width x Height

• Volume = Length x Width

• Volume = Length + Width

If the base area of a sandbox is 9.5 square feet and the volume is 7.125 cubic feet, what is the height of the sandbox?

• 0.25 feet

• 0.5 feet

• 0.75 feet

• 1 foot

After some sand is removed, the height of the sand in the sandbox is 0.5 feet. What is the new volume of the sand?

• 5.75 cubic feet

• 2.75 cubic feet

• 3.75 cubic feet

• 4.75 cubic feet

How do you calculate the volume of a composite shape made of two rectangular prisms?

• Add the areas of the two prisms

• Multiply the volumes of the two prisms

• Subtract the volume of one prism from the other

• Add the volumes of the two prisms

What is the missing measurement if the volume of a rectangular prism is 35.15 cubic yards and the base area is 4.5 square yards?

• 7.8 yards

• 8.0 yards

• 8.5 yards

• 7.5 yards

How do you determine the area of the base of a box if the volume is 456 cubic meters and the height is 9.5 meters?

• Divide the volume by the height

• Multiply the volume by the height

• Subtract the height from the volume

• Add the height to the volume

What is the total volume of a fish tank if the base area is 3/4 square meters and the height is 3/5 meters?

• 9/30 cubic meters

• 9/20 cubic meters

• 9/25 cubic meters

• 9/15 cubic meters

How much more water is needed to fill a fish tank if it currently holds 9/128 cubic meters of water and the total capacity is 9/80 cubic meters?

• 9/48 cubic meters

• 9/40 cubic meters

• 9/64 cubic meters

• 9/80 cubic meters

How do you calculate the volume of a composite figure made of three rectangular prisms?

• Divide the total volume by three

• Subtract the smallest volume from the largest

• Multiply the volumes of all three prisms

• Add the volumes of all three prisms

What is the total volume of a composite figure if the volumes of the three parts are 9/16, 9/32, and 3/64 cubic feet?

• 67/64 cubic feet

• 47/64 cubic feet

• 37/64 cubic feet

• 57/64 cubic feet