Calculate Cuboid Volume: Square Base (16 cm²) with 6 cm Height

Given an cuboid so that the base is a square

Given that the area of the base is 16 cm²

Height of the cuboid 6 cm

Is it possible to calculate the volume of the cuboid?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate the volume of the box if possible
00:03 Base is a square according to the data, so sides are equal
00:07 The square's perimeter equals the sum of its sides
00:10 The square's perimeter equals the sum of its sides
00:14 This is side A
00:20 Let's draw the box
00:36 Write down the sides we know
00:39 Height times length times width
00:42 Let's substitute appropriate values and solve for the volume
00:45 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Given an cuboid so that the base is a square

Given that the area of the base is 16 cm²

Height of the cuboid 6 cm

Is it possible to calculate the volume of the cuboid?

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Identify the given information.
  • Step 2: Apply the appropriate formula for the volume of the cuboid.
  • Step 3: Perform the necessary substitution.

Now, let's work through each step:
Step 1: The problem gives us the area of the base, which is 16 cm2^2, and the height of the cuboid, which is 6 cm.
Step 2: The formula to find the volume of a cuboid is given by:

V=Base Area×Height V = \text{Base Area} \times \text{Height}

Step 3: Substitute the given values into the formula:

V=16cm2×6cm V = 16 \, \text{cm}^2 \times 6 \, \text{cm}

After substituting, we find that V=96cm3 V = 96 \, \text{cm}^3 .

This means it is indeed possible to calculate the volume of the cuboid given the area of the base and the height.

Therefore, the answer is Yes.

3

Final Answer

Yes

Practice Quiz

Test your knowledge with interactive questions

A rectangular prism has a base measuring 5 units by 8 units.

The height of the prism is 12 units.

Calculate its volume.

121212888555

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Cuboids questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations