Example Question - dimensions calculation
Here are examples of questions we've helped users solve.
Calculating the Volume of a Rectangular Prism
The image depicts a rectangular prism, where the dimensions are given as follows: - Length (l): \( 16\frac{1}{2} \) cm or 16.5 cm - Width (w): 4 cm - Height (h): \( 9\frac{3}{4} \) cm or 9.75 cm Assuming you are looking to calculate the volume of this rectangular prism, the formula to use is: \[ \text{Volume} = l \times w \times h \] Let's insert the given values: \[ \text{Volume} = 16.5 \text{ cm} \times 4 \text{ cm} \times 9.75 \text{ cm} \] Now calculate each multiplication step by step: \[ \text{Volume} = 66 \text{ cm}^2 \times 9.75 \text{ cm} \] \[ \text{Volume} = 643.5 \text{ cm}^3 \] So, the volume of the given rectangular prism is 643.5 cubic centimeters.
Enlarging a Design on a Photocopier Machine
The question states that Cathy is enlarging a design on the photocopier machine using the 129% setting to increase the dimensions of the design. The original dimensions are given as 3 inches by 6 inches. To find the enlarged dimensions, we need to increase each original dimension by 129%. To do that, you would calculate 129% (which is the same as 1.29 when converted to a decimal) times the original dimensions. For the width: 3 inches * 1.29 = 3.87 inches For the length: 6 inches * 1.29 = 7.74 inches Now, rounding these to the nearest eighth of an inch, since the options are given to the nearest eighth: Width is approximately 3.875 inches (which is 3 7/8 inches when converted to fractions). Length is approximately 7.75 inches (which is 7 3/4 inches when converted to fractions). Therefore, looking at the available options, the size that most closely matches the calculations is: B. 3 7/8 inches by 7 3/4 inches
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