Surface Area of a Cuboid: Increasing a specific element by addition of.....or multiplication by.......

How many times does the shape fit inside of another shape?Using congruence and similarityData with powers and rootsFinding Area based off Perimeter and Vice VersaSubtraction or addition to a larger shapeSuggesting options for terms when the formula result is knownUsing additional geometric shapesUsing ratios for calculationA shape consisting of several shapes (requiring the same formula)Calculation using percentagesExtended distributive lawIdentify the greater valueUsing Pythagoras' theoremWorded problemsApplying the formulaCalculate The Missing Side based on the formulaUsing variables
Question 1

If we double the lengths of a rectangular prism, then by how much will its surface area increase?

Question 2

How will the surface area of a rectangular prism change if we triple its height?

Question 3

How will the surface area of a certain rectangular prism change if we triple the width?

Examples with solutions for Surface Area of a Cuboid: Increasing a specific element by addition of.....or multiplication by.......

Exercise #1

If we double the lengths of a rectangular prism, then by how much will its surface area increase?

Video Solution

Answer

It will increase by

(width+height)⋅length⋅2 (width + height)\cdot length \cdot2 .

Exercise #2

How will the surface area of a rectangular prism change if we triple its height?

Video Solution

Answer

It will increase by (width+length)∗6 (width+length)*6 .

Exercise #3

How will the surface area of a certain rectangular prism change if we triple the width?

Video Solution

Answer

It will increase by (ancho+altura)⋅largo⋅4 (ancho+altura)\cdot largo\cdot4