Volume of a Orthohedron: Using Pythagoras' theorem

Finding Area based off Perimeter and Vice Versa How many times does the shape fit inside of another shape?Worded problems Calculation using percentages Using ratios for calculation A shape consisting of several shapes (requiring the same formula)Verifying whether or not the formula is applicable Subtraction or addition to a larger shape Using variables Applying the formula Calculate The Missing Side based on the formula

Question 1

The side BC in the rectangular prism below is 8 cm long.

Side BD is 4 cm long.
Side AD is 5 cm long.

Calculate the volume of the cube.

Question 2

Given the cuboid whose length is equal to 9 cm

Width is equal to 3 cm

Side AB equals 10 cm

Is it possible to calculate the volume of the cuboid?

Question 3

A cuboid has a width measuring 8 cm and a height of 4 cm.

Calculate the length of the side AC.

Question 4

Below is a cuboid that has a volume of 120 cm3.

The height AK is equal to 6 cm.

AB = 4

Calculate the side AC.

Examples with solutions for Volume of a Orthohedron: Using Pythagoras' theorem

Exercise #1

The side BC in the rectangular prism below is 8 cm long.

Side BD is 4 cm long.
Side AD is 5 cm long.

Calculate the volume of the cube.

Video Solution

Answer

96 cm³

Exercise #2

Given the cuboid whose length is equal to 9 cm

Width is equal to 3 cm

Side AB equals 10 cm

Is it possible to calculate the volume of the cuboid?

Video Solution

Answer

You can, $36\cdot\sqrt{19}$ cm³

Exercise #3

A cuboid has a width measuring 8 cm and a height of 4 cm.

Calculate the length of the side AC.

Video Solution

Answer

$\sqrt{80}$ cm

Exercise #4

Below is a cuboid that has a volume of 120 cm3.

The height AK is equal to 6 cm.

AB = 4

Calculate the side AC.

Video Solution

Answer

$\sqrt{41}$ cm