Question

Maya rakes up the leaves and wants to put them into bags that hold of a cubic yard. If she rakes:

2
kes 22/1
2 cubic
rds of leaves in total, how many bags of leaves will she fill?
6. Write an expression to show how you can determine the answer to the question.
7. Draw a picture to model what is happening in the problem.

Answer 1

To determine the number of bags of leaves that Maya will fill, we can divide the total volume of leaves by the volume of each bag.

The volume of leaves that Maya rakes is 2 cubic yards.

Each bag holds 1 cubic yard of leaves.

The number of bags of leaves that Maya will fill can be found by dividing the volume of leaves by the volume of each bag:

Number of bags = 2 cubic yards / 1 cubic yard/bag = <<2/1=2>>2 bags

Here is a picture to model what is happening in the problem:

[asy]

import three;

size(250);

currentprojection = perspective(1,1,1);

triple A = (1,1,0);

triple B = (1,-1,0);

triple C = (-1,-1,0);

triple D = (-1,1,0);

triple E = (1,1,1);

triple F = (1,-1,1);

triple G = (-1,-1,1);

triple H = (-1,1,1);

draw(A--B--C--D--A--E--H--D--F--B--E--F--G--C--G--H--E--F--G--H,gray(0.7));

draw(A--D^^B--C^^E--H^^F--G,gray(0.3));

label("1 cubic yard", (0,0,0.5), NE);

label("2 cubic yards", (0,0,1.5), NE);

[/asy]

Explanation: