Word Problem Involving the Rate of Filling or Emptying a Rectangular Prism Online Quiz



Following quiz provides Multiple Choice Questions (MCQs) related to Word Problem Involving the Rate of Filling or Emptying a Rectangular Prism. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.

Questions and Answers
Q 1 - A bath tub is in the form of a rectangular prism. Its dimensions are 7ft × 5ft × 3ft. The bath tub is two-thirds full of water. If the bath tub drains at the rate of 2 cubic foot per minute, how long does it take for all the water to drain?

Answer : D

Explanation

Step 1:

Volume of water = 2/3 × 7ft × 5ft × 3ft

= 70 cu ft

Step 2:

Time taken to drain = Volume/rate = 70/2

= 35 minutes

Q 2 - A rectangular fish tank 60 cm × 21 cm × 36 cm is 1/4 full of water. How long does it take to fill the tank completely, if it fills up at the rate of 2 liters per minute?

Answer : A

Explanation

Step 1:

Volume of water = 3/4 × 60cm × 21cm × 36cm

= 34020 cu cm

Step 2:

Time taken to fill up = Volume/rate = 34020/2000

= 17.01 minutes

Q 3 - A rectangular fish tank 80 cm × 18 cm × 35 cm is 1/5 full of water. How long does it take to fill the tank completely, if it fills up at the rate of 2 liters per minute?

Answer : B

Explanation

Step 1:

Volume of water to fill = 4/5 × 80 cm × 18cm × 35cm

= 40320 cu cm

Step 2:

Time taken to fill up = Volume/rate = 40320/2000

= 20.16 minutes

Q 4 - A wash basin in the shape of a rectangular prism. Its dimensions are 24 in × 15 in × 12 in. It is three-fourth full of water and drains at the rate of 144 cubic inches per minute. How long does it take for the basin to drain completely?

Answer : C

Explanation

Step 1:

Volume of water = 3/4 × 24in × 15in × 12in

= 3240 cu in

Step 2:

Time taken to drain = Volume/rate = 3240/144

= 22.5 minutes

Q 5 - A swimming pool is 10m long, 8m wide and 5m deep. It is 60% full of water and drains at the rate of 2 kiloliter per minute. How long does it take to drain the swimming pool completely?

Answer : B

Explanation

Step 1:

Volume of water = 0.6 × 10m × 8m × 5m

= 240 cu m

Step 2:

Time taken to drain = Volume/rate = 240/2

= 120 minutes

Q 6 - An aquarium tank in the form of a rectangular prism has the dimensions 48 cm × 40 cm × 27 cm. If it is 50% full and fills up at the rate of 3 liters per minute, how long does it take to fill up completely?

Answer : C

Explanation

Step 1:

Volume of water = 1/2 × 48cm × 40cm × 27cm

= 25920 cu cm

Step 2:

Time taken to fill up = Volume/rate = 25920/3000

= 8.64 minutes

Q 7 - A water tank, having the shape of a rectangular prism of base 400 square centimeters, is being filled at the rate of 4 liter per minute. How long does it take to fill the tank if its height is 8 meters?

Answer : A

Explanation

Step 1:

Volume of water = 400 sq cm × 800cm

= 320000 cu cm

Step 2:

Time taken to fill = Volume/rate = 320000/4000

= 80 minutes

Q 8 - Sarah is cleaning out her fish tank that is 6 feet long, 4 feet wide, and 3 feet deep. It is 70% full of water and drains at the rate of 2 cubic foot per minute. How long does it take to drain completely?

Answer : A

Explanation

Step 1:

Volume of water = 0.7 × 6ft × 4ft × 3ft

= 50.4 cu ft

Step 2:

Time taken to drain = Volume/rate = 50.4/2

= 25.2 minutes

Q 9 - A bath tub is in the form of a rectangular prism. Its dimensions are 9ft × 4ft × 3ft. The bath tub is two-thirds full of water. If the bath tub drains at the rate of 1.5 cubic foot per minute, how long does it take for all the water to drain?

Answer : D

Explanation

Step 1:

Volume of water = 2/3 × 9ft × 4ft × 3ft

= 72 cu ft

Step 2:

Time taken to drain = Volume/rate = 72/1.5

= 48 minutes

Q 10 - A bath tub in the shape of a rectangular prism is 20 feet long, 15 feet wide and 8 feet deep. It is 20% full and fills up at the rate of 15 cubic feet per minute. How long does it take to fill up the tub completely?

Answer : B

Explanation

Step 1:

Volume of water = 0.8 × 20ft × 15ft × 8ft

= 1920 cu ft

Step 2:

Time taken to fill up = Volume/rate = 1920/15

= 128 minutes


word_problem_involving_rate_filling_or_emptying_prism.htm

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