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

question 488

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. Calculate the volume if $a = 263$ feet , $b = 698$ feet , and $h = 192$ feet.

• A) \(47,366,608\) cubic feet
• B) \(142,069,824\) cubic feet
• C) \(47,357,608\) cubic feet
• D) \(47,356,608\) cubic feet

---

Definitions:

Symbolic Functioning

The ability of a person, typically developing in early childhood, to use symbols, signs, or objects to represent something that is not physically present.

Sensorimotor Period

The first stage of Jean Piaget's theory of cognitive development, occurring from birth to about 2 years of age, where infants learn through interacting with their environment.

Goal-Directed Behavior

Action taken by an individual that is intended to lead to the achievement of a specified outcome or goal.

Mental Representation

An internal image of a past event or object.