Assignment 3

5.MD.5 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

a. Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication.

b. Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

c. Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.

Directions:

· Read every question rigorously.

· Answer every question fully.

· Diagrams utilized below might not be drawn to scale.

Enhanced Multiple Choice

1. What could be the dimensions of the figure below if it can hold exactly 72-unit cubes without spaces between them?

Note: The figure is not drawn to scale.

Circle three (3) that apply.

A. 3 x 4 x 6

B. 6 x 6 x 6

C. 2 x 4 x 12

D. 2 x 4 x 9

E. 2 x 6 x 6

F. 3x 3 x 6

Performance Task

2. The image shows the first parade float the students decorated.

6 feet

9 feet

6 feet

The fifth-grade students at Brooks Elementary School are decorating a float for a parade. If the students use this model, what would be the volume of the float?

A. 240 cubic feet

B. 624 cubic feet

C. 788 cubic feet

D. 946 cubic feet

14 feet

8 feet

Constructed Response

3. What is the value of x if the volume of the rectangular prism is 60 cubic centimeters?

Enter the answer below.

X cm

4 cm

3 cm

Reference