High School

**EXERCISE 38.6**

1. Esti built these models with wooden blocks.

a) Find the volume of each model in blocks.
b) Which model has the smallest volume?
c) Which model has the greatest volume?
d) What is the difference between the greatest and smallest volume?

- A: 9 blocks
- B: 8 blocks
- C: 7 blocks
- D: 13 blocks
- E: 9 blocks
- F: 7 blocks

Answer :

a) The volume of each model in blocks is: A=9, B=8, C=7, D=13, E=9, F=7.

b) The model with the smallest volume is Model C or Model F with 7 blocks each.

c) The model with the greatest volume is Model D with 13 blocks.

d) The difference between the greatest and smallest volume is 6 blocks.

We can meet the requirements by following these steps:

1) Identify the number of blocks in each model (A to F) based on their arrangement.

2) Count the blocks in each model:

Model A has 9 blocks

Model B has 8 blocks

Model C has 7 blocks

Model D has 13 blocks

Model E has 9 blocks

Model F has 7 blocks.

3) Record the volumes:

A=9, B=8, C=7, D=13, E=9, F=7.

4) Determine the model with the smallest volume by examining the recorded values:

Models C and F have the smallest and equal volumes.

5) Determine the model with the greatest volume using the recorded values:

Model D has the greatest volume

6) Calculate the difference between the greatest and smallest volumes.

Greatest volume Model D = 13

Smallest volume Model C = 7

Difference between Model D and C = 6 (13 - 7)

Complete Question is attached.

1. a) The volumes are: A - 9, B - 8, C - 7, D - 6, E - 13, F - 9, and G - 5

blocks.

b) Smallest: F

c) Largest: D

d) Difference: 8 blocks.

2. The volumes for Petrus's models are A - 6 cubes, B - 8 cubes, C - 10

cubes, and D - 15 cubes.

1. Esti's Models

To find the volume of each model, we will count the number of individual

blocks.

a) Volume of Each Model

Model A has 9 blocks, Model B has 8 blocks, Model C has 7 blocks,

Model D has 13 blocks, Model E has 9 blocks, and Model F has 5 blocks.

b) Model with the Smallest Volume

Model F has the smallest volume with 5 blocks.

c) Model with the Greatest Volume

Model D has the greatest volume with 13 blocks.

d) Difference Between the Greatest and Smallest Volume

The difference is

[tex]13 - 5=8 $blocks$.[/tex]

2. Petrus's Models

Count the number of cubes in each model:

Model A: 6 cubes

Model B: 8 cubes

Model C: 10 cubes

Model D: 15 cubes

The complete question is:

1. Esti built these models with wooden blocks.

a) Find the volume of each model in blocks.

b) Which model has the smallest volume?

c) Which model has the greatest volume?

d) What is the difference between the greatest and smallest

volume?

2. Petrus built these models. Find the volume of each model in cubes.