Math Problem Statement

What is the capacity of the given water tank and how many 1 cm³ cubes can it hold?

Solution

The image appears to show a math exercise related to the volume of a rectangular water tank.

Part (a):

To find the volume of the water tank, the formula for the volume of a rectangular prism is used:

V=length×width×heightV = \text{length} \times \text{width} \times \text{height}

In this case:

  • Length = 12 cm
  • Width = 8 cm
  • Height = 5 cm

So, the volume calculation is:

V=12×8×5=480cm3V = 12 \times 8 \times 5 = 480 \, \text{cm}^3

Therefore, the water tank's capacity is 480 cm³, which is equivalent to 480 mL (since 1 cm³ = 1 mL).

Part (b):

This part is asking how many 1 cm³ cubes the water tank can hold. Since each cube has a volume of 1 cm³, the number of cubes the tank can hold is simply the volume of the tank, which is 480 cubes.

Summary:

  • The water tank has a capacity of 480 cm³ (or 480 mL).
  • The water tank can hold 480 1 cm³ cubes.

Would you like further clarification on any part of the problem?


Additional related questions:

  1. What is the volume of a rectangular prism with different dimensions?
  2. How do you convert between cubic centimeters and milliliters?
  3. How can you find the volume of irregular shapes?
  4. What is the formula for the volume of a cylinder?
  5. How would you calculate the volume of a cone?

Tip: Always check if the units need conversion, especially when switching between cubic measurements (like cm³ to mL).

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Math Problem Analysis

Mathematical Concepts

Volume of a rectangular prism
Unit conversion between cm³ and mL

Formulas

Volume = length × width × height

Theorems

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Suitable Grade Level

Grades 5-7