The surface area of this cube is 2 cm 2 more than the surface area of this cuboid What is the side length of the cube?

Given: Surface area of cuboid = 2 l w + w h + l h = 2 5 × 4 + 4 × 3 + 5 × 3 = 2 20 + 12 + 15 = 2 × 47 = 94 cm 2 Now, according to question, Surface area of cube = Surface area of cuboid + 2 Surface area of cube = 94 + 2 = 96 cm 2 Surface area of cube = 6 × side 2 = 96 cm 2 ∴ side 2 = 96 6 = 16 cm 2 Hence, side of the cube = 16 cm 2 = 4 cm .

Mercus is working on this question: Is Marcus correct? Show your working.

Given: Volume of cuboid is 900 mm 3 . We know that, Volume of cuboid = length × breadth × height 900 = 15 × 10 × height height = 900 15 × 10 = 6 mm Hence, height of the cuboid is 6 mm . Surface area of cuboid = 2 l w + w h + l h = 2 15 × 10 + 10 × 6 + 15 × 6 = 2 150 + 60 + 90 = 600 mm 2 Therefore, Marcus is correct.

E M B I B E

Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access>Chapter 15 - Shapes, Area and Volume>Exercise 15.5

Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Shapes, Area and Volume, Exercise 6: Exercise 15.5

Author:Lynn Byrd, Greg Byrd & Chris Pearce

Lynn Byrd Mathematics Solutions for Exercise - Lynn Byrd, Greg Byrd and, Chris Pearce Solutions for Chapter: Shapes, Area and Volume, Exercise 6: Exercise 15.5

Attempt the practice questions on Chapter 15: Shapes, Area and Volume, Exercise 6: Exercise 15.5 with hints and solutions to strengthen your understanding. Cambridge Lower Secondary Mathematics Learner's Book 7 Second Edition Digital Access solutions are prepared by Experienced Embibe Experts.