Provide an Appropriate Response $V = \frac { 1 } { 3 } h \left( a ^ { 2 } + a b + b ^ { 2 } \right)$

question 470

Multiple Choice

Provide an appropriate response.
-The formula used to find the volume of the frustum of a square pyramid is $V = \frac { 1 } { 3 } h \left( a ^ { 2 } + a b + b ^ { 2 } \right)$ , where $b$ is the length of the base, $a$ is the length of the top, and $h$ is the height. Try to visualize the figure if $a = b = h$ . Calculate the volume if $a = 261$ feet, $b = 261$ feet, and $h = 261$ feet.

• A) \(17,779,681\) cubic feet
• B) \(17,779,581\) cubic feet
• C) 68,121 cubic feet
• D) \(17,780,581\) cubic feet

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Definitions:

Blisspoint

The optimal level of consumption where any further increase would lead to a decrease in overall satisfaction or happiness, often used in food science and economics.

Set Point

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Probability-Differential Theory

A theory suggesting that the probability of choosing a specific behavior is based on the relative reinforcement of that behavior compared to alternatives.

Premack's Probability-Differential Theory

A theory that suggests that more probable behaviors can serve as reinforcers for less probable behaviors, indicating a hierarchy of preferred activities.