Rectangular Prism and it's Total Surface Area

Q. The total surface area of a rectangular prism is___

1. $2\left(lb\right)+2\left(bh\right)+2\left(lh\right)$
2. $lbh$
3. $2\left(lw\right)+2\left(bw\right)$
4. $2(l+w)h$

Q.
3 identical cubes are stacked on top of each other as shown in the diagram above, the combined surface area of the structure formed equals .

1. $332$ sq. units
2. $492$ sq. units
3. $300$ sq. units

Q. The surface area of a solid is the sum of the areas of all its outer surfaces (faces).

1. False
2. True

Q. The lateral surface area of a solid is the sum of areas of all the walls, excluding the top and the bottom surfaces of the solid.

1. False
2. True

Q. A matchstick box in the shape of rectangular prism with the dimensions $5m\times 2m\times 4m$. Calculate the total surface area of the matchstick.

1. $70{\text{m}}^2$
2. $76{\text{m}}^2$
3. $78{\text{m}}^2$
4. $79{\text{m}}^2$

Q. The total surface area of a rectangular prism is $900{\text{ft}}^2$. The length and breadth of this prism is $15ft$ and $10ft$ resepctively. Find the depth of this rectangular prism.

1. 12 ft
2. 15 ft
3. 24 ft
4. 6 ft

Q. The dimensions of the rectangular prism is $8in\times 4in\times 6in$. The total surface area of a rectangular prism is $\frac{x}{3}{\text{in}}^2$. Find the value of $x.$

1. 208
2. 624
3. 208${\text{in}}^2$
4. 624${\text{in}}^2$

Q.

Find the surface area of the prism or regular pyramid.

Q. What is the side length of the largest cubes that can fill this rectangular prism perfectly?

1. $0.5$ units
2. $1$ unit
3. $2$ units

Q.
For the cube as shown in the diagram, if $AB$ is the length of the rectangular prism and $BC$ is the width of the ccuboid, then it's height is .

1. $CD$
2. $GF$
3. $GD$

Q.
Compute the surface area (in sq. cm) occupied by the rectangular prism shown in the above diagram.

1. 390

Q. A rectagular tank is $120cm$ long, $xcm$ wide and $70cm$ depth. It can hold $840,000{\text{cm}}^3$ volume of water upto it's full capacity. Find the total surface area of the rectangular prism.

1. $548\times {10}^2{\text{cm}}^3$
2. $548{\text{cm}}^2$
3. $548\times {10}^3{\text{cm}}^2$
4. $548\times {10}^2{\text{cm}}^2$