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Aoife wants to find the volume of her bath, shown in the photograph on the right - Junior Cycle Mathematics - Question 5 - 2016
Question 5
Aoife wants to find the volume of her bath, shown in the photograph on the right. She uses a tape measure to find the length, width, and depth of the bath, as shown... show full transcript
Worked Solution & Example Answer:Aoife wants to find the volume of her bath, shown in the photograph on the right - Junior Cycle Mathematics - Question 5 - 2016
Step 1
(a) Complete the table, by converting each measurement to centimetres or metres, as appropriate.
Answer
To convert the measurements from centimetres to metres, divide by 100:
-
For Length (L):
-
For Width (W):
-
For Depth (D):
- (already in metres)
The completed table is:
| Measurement in centimetres | Measurement in metres |
|---|---|
| Length (L) | 1.5 |
| Width (W) | 0.55 |
| Depth (D) | 0.4 |
Step 2
(b) Use the measurements in the table to find the volume of the bath.
Answer
To find the volume of the bath, we use the formula for the volume of a rectangular box:
Substituting in the measurements:
- Length (L) = 1.5 m
- Width (W) = 0.55 m
- Depth (D) = 0.4 m
Calculating the volume:
Thus, the volume of the bath is 0.33 m³.
Step 3
(c) Give a reason why the answer to part (b) is probably not the exact volume of the bath.
Answer
The bath is not exactly a rectangular box, and therefore the measurements may not be entirely accurate. Additionally, factors such as the curvature of the bath and the possibility of measurement errors can affect the final volume calculation.