Solve the System Graphically $2 \mathrm {~cm}$ Are Cut from the Corners of the Sheet, and the Area

question 154

Multiple Choice

Solve the system graphically.
-A rectangular metal sheet has an area of 150 square centimeters. Four squares with sides $2 \mathrm {~cm}$ are cut from the corners of the sheet, and the edges are bent upward to form an open box with a volume of 132 cubic centimeters. Find the dimensions of the box.

• A) Length \(= 15 \mathrm {~cm}\); width \(= 10 \mathrm {~cm}\); height \(= 2 \mathrm {~cm}\)
• B) Length \(= 13 \mathrm {~cm}\); width \(= 8 \mathrm {~cm}\); height \(= 2 \mathrm {~cm}\)
• C) Length \(= 11 \mathrm {~cm}\); width \(= 2 \mathrm {~cm}\); height \(= 6 \mathrm {~cm}\)
• D) Length \(= 11 \mathrm {~cm}\); width \(= 6 \mathrm {~cm}\); height \(= 2 \mathrm {~cm}\)

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Definitions:

Total Cost Variance

The difference between the actual cost and the standard cost of an operation, process, or product.

Direct Materials Price

The cost of raw materials and components required to produce a finished product.

Quantity Variances

The difference between the expected and actual amount of materials or resources used in a production process, often in reference to budgeting and cost control.

Direct Labor Rate Variance

The difference between the actual cost of direct labor and the expected (or standard) cost, often analyzed to manage and control production costs.