Question

Find the volume of a pyramid with a square base, w9.6 ft. Round your answer to the nearest tenth of a cubic foot.

a) 38.4 cubic feet
b) 48.6 cubic feet
c) 57.6 cubic feet
d) 64.8 cubic feet

Answer 1

To find the volume of a pyramid with a square base, we use the formula V = (1/3) * B * h, where B is the area of the base and h is the height.

The correct option is b 48.6 cubic feet

Step-by-step explanation:

Given that the base of the pyramid is a square with a side length of 9.6 feet, the area of the base (B) is calculated as B = s^2, where s is the side length.

`\[ B = 9.6^2 = 92.16 \, \text{ft}^2 \]`

Now, with the height of the pyramid, we can find the volume using the formula:

\[ V = (1/3) * B * h \]

Substituting in the values:

\[ V = (1/3) * 92.16 * h \]

To find the value of h, we need additional information. If the height is not provided, we cannot complete the calculation. Assuming the height is given or can be determined, the final volume can be calculated. The final answer is rounded to the nearest tenth of a cubic foot.

Therefore, the final volume is approximately 48.6 cubic feet.

Please note that if the height is not given or assumed, the calculation cannot be completed, and the answer remains incomplete.

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**Professional Writing: Age Distribution of U.S. Senators (Fall 2013)**

The age distribution of U.S. Senators in Fall 2013 was as follows:

- Under 50: 11 senators

- 50-59: 30 senators

- 60-69: 5 senators

The age distribution of U.S. Senators in Fall 2013 reveals that there were 11 senators under the age of 50, 30 senators aged 50-59, and 5 senators aged 60-69. This distribution reflects a notable concentration of senators in the 50-59 age range. The diversity in age groups indicates a mix of experienced lawmakers and those potentially bringing new perspectives to the legislative process.

The Senate's age distribution is crucial in understanding the breadth of experience and generational perspectives contributing to legislative decisions. The larger number of senators in the 50-59 age range suggests a considerable cohort of lawmakers with a blend of experience and perhaps a common historical context. This diversity in age groups likely influences the dynamics and decision-making processes within the U.S. Senate, contributing to a nuanced and well-rounded approach to addressing the nation's issues.

In summary, the age distribution of U.S. Senators in Fall 2013 highlights the coexistence of different generational perspectives, with the 50-59 age range being particularly prominent. This diversity in ages contributes to a comprehensive and multifaceted legislative landscape, reflecting the varied experiences and viewpoints of the senators shaping national policy.

Answer 2

To calculate the pyramid's volume, the formula V = (1/3) × base area × height is used. Assuming the height is the same as the base's side (9.6 ft), the volume would be approximately 294.9 cubic feet. However, without the specific height or more information, we cannot confirm any of the given options.

Step-by-step explanation:

To find the volume of a pyramid with a square base, we can use the formula V = (1/3) × base area × height. Given that the side of the square base is 9.6 feet, the base area is 9.6 ft × 9.6 ft = 92.16 ft². Without the height of the pyramid, we cannot calculate the exact volume; however, if we assume the height is equal to the side of the square base (which is a common practice for this type of problem), the volume would be V = (1/3) × 92.16 ft² × 9.6 ft = 294.912 ft³. Rounded to the nearest tenth, the volume would be 294.9 cubic feet.

However, this exact volume is not among the options provided. Without the specific height of the pyramid or more information, it is not possible to select an answer from the given choices a) through d).