Calculate Cuboid Height: Given Length 5cm, Width 3cm, Volume 30cm³

Question

Given the length of the cuboid is 5 cm

Width is equal to 3 cm

Volume of the cuboid is equal to 30 cm3

Calculate the height of the cuboid

333555

Video Solution

Solution Steps

00:00 Calculate the height of the box
00:03 We'll use the formula for calculating box volume
00:07 width times height times length
00:11 We'll substitute appropriate values and solve for height H
00:28 We'll isolate height H
00:37 And this is the solution to the question

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
  • Step 3: Perform the necessary calculations

Now, let's work through each step:

Step 1: The problem gives us:
- Length (LL) = 5cm5 \, \text{cm}
- Width (WW) = 3cm3 \, \text{cm}
- Volume (VV) = 30cm330 \, \text{cm}^3

Step 2: We'll use the formula:

V=L×W×H V = L \times W \times H

Step 3: Plug in the known values:

30=5×3×H 30 = 5 \times 3 \times H

Simplify the equation:

30=15×H 30 = 15 \times H

To solve for HH, divide both sides by 15:

H=3015=2cm H = \frac{30}{15} = 2 \, \text{cm}

Therefore, the height of the cuboid is 2cm 2 \, \text{cm} .

Answer

2 cm