s net and expression for calculating…

Mathematics Questions

Are Linda’s net and expression for calculating the surface area of her triangular prism-shaped attic correct?

Short Answer

Linda’s expression contains both correct and incorrect terms for calculating the attic’s surface area, identifying the accurate term as 45(40 + 25 + 25). The second term needs adjustment by adding a factor of 2 to become 8(40 x 15), ultimately leading to a correct total surface area of 4650 square feet after summing the revised expressions.

Step-by-Step Solution

Step 1: Identify the Correct Terms

The expression that Linda drew has a part that is accurate and another that needs adjustment. The first term, 45(40 + 25 + 25), reflects the correct sum, representing some of the attic’s dimensions. Knowing what is correct helps in assessing what needs revision in her calculation.

Step 2: Correcting the Missing Factor

Linda’s second term, 4(40 x 15), actually requires an additional factor of 2 for accuracy. This means the complete term should be 8(40 x 15), which accounts for the physical dimensions properly. Ensuring all dimensions are represented is crucial for calculating the surface area accurately.

Step 3: Calculate the Surface Area

After correcting the expression, evaluate the total surface area of the attic. Linda’s final calculation yields a surface area of 4650 square feet. This final result can be reached by summing all corrected terms from her expression, confirming the validity of these figures through proper computation.

Related Concepts

Identifying terms

The process of recognizing and distinguishing accurate elements within a mathematical expression or calculation that contributes to the overall understanding of it.

Correcting factors

The act of adjusting or modifying numerical expressions in order to ensure they accurately represent the physical dimensions or requirements in a problem-solving context.

Calculating surface area

The method of determining the total area of the surfaces of a three-dimensional object, which in this case, involves summing the values derived from corrected expressions.

Scroll to Top