Marcus wants to build a storage table with a cover to put gardening tools/equipment in for his mother. If wood costs $1 for 100 square centimeters of wood, how much will it cost Marcus to build the wooden storage table?

Question

(1 point)
Responses

It will cost Marcus $216 to build the wooden storage table.
It will cost Marcus $216 to build the wooden storage table.

It will cost Marcus $200 to build the wooden storage table.
It will cost Marcus $200 to build the wooden storage table.

It will cost Marcus $21.60 to build the wooden storage table.
It will cost Marcus $21.60 to build the wooden storage table.

Marcus will need 21,600 cm2
of wood.

Answer 1

To determine how much it will cost Marcus to build the wooden storage table, we need to calculate the total area of wood he will need and then find the cost based on the price of wood.

The problem states that wood costs $1 for 100 square centimeters. Therefore, the cost per square centimeter is \( \frac{1}{100} \) dollars, or $0.01 per cm².

If Marcus needs 21,600 square centimeters of wood, we find the cost by multiplying the total area by the cost per square centimeter:

\[ \text{Cost} = \text{Area} \times \text{Cost per cm}^2 \] \[ \text{Cost} = 21,600 , \text{cm}^2 \times 0.01 , \text{dollars/cm}^2 = 216 , \text{dollars} \]

Thus, it will cost Marcus $216 to build the wooden storage table.

The correct answer is: It will cost Marcus $216 to build the wooden storage table.