Volume of a Rectangular Prism

Q.

What is the formula to find trapezoidal volume?

Q. Find the volume of the rectangular prism shown in the figure.

1. 90 cu ft
2. 72 cu ft
3. 81 cu ft
4. 54 cu ft

Q. Which among the following cuboid and cube, will have a greater volume?

1. Cube
2. Cuboid
3. Both have equal volume

Q.

Two similar rectangular prisms have a scale factor of $4:1$.

The smaller prism has a volume of $6\mathrm{cubic}\mathrm{centimeters}$.

What is the volume of the larger prism in cubic centimeters?

Q.
The total surface area of the rectangular prism shown above is , while its volume is .

1. $280$ sq. units
2. $300$ cubic units
3. $160$ sq. units
4. $600$ cubic units

Q. What is the volume of the rectangular prism?

1. $81{\text{unit}}^3$
2. $64{\text{unit}}^3$
3. $54{\text{unit}}^3$
4. $48{\text{unit}}^3$

Q. A metallic cube with side $20$ cm is melted and formed into a cuboid with base $10$ cm by $40$ cm. What will be its height?

Q. A sandbox which has a shape of a cuboid is $0.55$ m high, $2.5$ m wide, and $3$ m long. If the sand in the box is $0.25$ m deep, what is the volume of sand in the box?

1. $4.125$ m${}^3$
2. $1.875$ m${}^3$

Q.
If each small cube has a volume of one cubic units, then the volume of the rectangular prism as shown is .

1. $10$ cubic units
2. $8$ cubic units
3. $12$ cubic units

Q. A solid metallic cuboid having of dimensions 5 in × 6 in × 7 in is melted and recast into cubes. Find how many unit cubes can be formed from the cuboid.

1. 30
2. 250
3. 300
4. 210

Q. If a rectangular prism has length $l=12$ units, width $w=8$ units and height $h=5$ units. Match the following.

1. $196$ sq. units
2. $200$ sq. units
3. $480$ sq. units

Q.

Question Statement: Use what you learned in parts (a) and (b) to write a formula that gives the volume of any prism.

Q. If the volume of a room is $828$ m³ and the area of the floor is $138$ m², find the height of the room in meters.

Q. Volume of a rectangular prism equals $length\times width\times height$.

1. False
2. True

Q.

Question Statement: Find the volume of the prism.