Given the surface area of the cuboid equal to 94 cm.3
The length of the cuboid is 5 cm. and its width 4 cm.
Calculate the volume of the cube
Given the surface area of the cuboid equal to 94 cm.3
The length of the cuboid is 5 cm. and its width 4 cm.
Calculate the volume of the cube
The surface area of a rectangular prism 240 cm².
What is its volume according to the dimensions given in the diagram?
Given the surface area of the cuboid equal to 136 cm3
Length of the cuboid is equal to 8 cm and the width is equal to half the length.
Calculate the volume of the cube
Given the surface area of the cuboid equal to 94 cm.3
The length of the cuboid is 5 cm. and its width 4 cm.
Calculate the volume of the cube
To solve this problem, we are going to determine the volume of a cuboid given its length, width, and overall surface area. Here's how we will do it:
Now, let's work through each step:
Step 1: Calculate the height .
We know the surface area of a cuboid is given by the formula:
Substituting the known values:
Simplify:
Divide both sides by 2:
Simplify further to solve for :
Step 2: Calculate the volume using the height .
Now that we know , use the volume formula for the cuboid:
Therefore, the volume of the cuboid is .
60 cm³
The surface area of a rectangular prism 240 cm².
What is its volume according to the dimensions given in the diagram?
To solve this problem, we'll follow these steps:
Now, let's work through each step:
Step 1: We know the surface area , and two dimensions: 12 cm and 3 cm.
Step 2: The formula for the surface area of a rectangular prism is:
Substituting the known values into the equation:
Simplify and solve for :
Step 3: Now that we know all dimensions, use the volume formula:
Perform the calculation:
Therefore, the volume of the rectangular prism is .
Given the surface area of the cuboid equal to 136 cm3
Length of the cuboid is equal to 8 cm and the width is equal to half the length.
Calculate the volume of the cube
To solve this problem, follow these steps:
Now, let's calculate:
Starting with the surface area equation:
.
Simplifying gives:
.
.
.
Subtract 64 from both sides:
.
Divide both sides by 24:
.
Now, calculate the volume using :
.
.
Therefore, the volume of the cuboid is .
96 cm³