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

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**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