Volume and Dimensions of Prisms

This lesson focuses on solving word problems involving the volume of rectangular prisms with whole number edge lengths. It includes a warm-up exercise, solving volume problems with planters, creating planters with specific volumes, and adjusting shed dimensions to achieve desired volumes. The lesson emphasizes understanding volume calculations, using diagrams, and applying constraints in design problems.

What is the main objective of the lesson in module five, lesson seven?

• To solve word problems involving the area of circles

• To solve word problems involving the volume of rectangular prisms with whole number edge lengths

• To solve word problems involving the perimeter of triangles

• To solve word problems involving the surface area of cubes

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

• Length x Width

• 2 x (Length + Width + Height)

• Length x Width x Height

• Length + Width + Height

In the warm-up exercise, what are the dimensions of Jeffrey's first planter?

• 8 feet long, 4 feet wide, 2 feet high

• 6 feet long, 3 feet wide, 2 feet high

• 10 feet long, 5 feet wide, 4 feet high

• 8 feet long, 2 feet wide, 3 feet high

What is the volume of soil in Jeffrey's first planter?

• 60 cubic feet

• 36 cubic feet

• 24 cubic feet

• 48 cubic feet

How many different ways does Jeffrey want to create planters with a volume of 320 cubic feet?

• Five

• Two

• Four

• Three

What is a key concept when creating planters with different dimensions but the same volume?

• Using the same length for all planters

• Using factor pairs and number bonds

• Ensuring all planters have the same width

• Using only even numbers for dimensions

What is the maximum height allowed for the planter that Jeffrey wants to build below his window?

• 6 feet

• 3 feet

• 5 feet

• 4 feet

If the volume of the planter below the window is 36 cubic feet, which of the following is a possible set of dimensions?

• 5 feet x 2 feet x 4 feet

• 4 feet x 4 feet x 3 feet

• 3 feet x 3 feet x 4 feet

• 6 feet x 2 feet x 3 feet

What is the volume of Jeffrey's current shed?

• 300 cubic feet

• 240 cubic feet

• 360 cubic feet

• 480 cubic feet

If Jeffrey doubles each dimension of his shed, what will the new volume be?

• 1920 cubic feet

• 480 cubic feet

• 1440 cubic feet

• 960 cubic feet