For the following shape: Indicate the base shape and find its area Find the volume of the 3D shape. Show all of your working and round answers to the nearest tenth if necessary.

Given shape: Base is rectangle. Area of base = length × width = 10 cm × 8 cm = 80 cm 3 Volume of 3 D shape = Base area × Height = 80 cm 2 × 12 cm = 960 cm 3

For the following figure: Indicate the base shape and find its area Find the volume of the 3 D shape. Show all of your working and round answers to the nearest tenth if necessary.

Given shape: Base is rectangle. Area of base area = 8 mm × 13 mm = 104 mm 2 Volume of 3 D shape = Base area × Height = 104 mm 2 × 7 mm = 728 mm 3

For the following shape: Indicate the base shape and find its area Find the volume of the 3 D shape. Show all of your working and round answers to the nearest tenth if necessary.

Given 3 - D Shape: Base area of 3 D shape is pentagon. Area of pentagon = n b h 2 Where, n = number of sides of polygon b = b a s e h = apothem A = 5 × 12 f t × 8 ft 2 = 240 ft 2 Volume of 3 D shape = base area × height = 240 ft 2 × 22 ft = 5280 ft 3

For the following shape: Indicate the base shape and find its area Find the volume of the 3 D shape. Show all of your working and round answers to the nearest tenth if necessary.

Given 3 D shape: Base is rectangular in shape. Area of rectangle = length × width = 14 cm × 10 cm = 140 cm 2 Given 3d shape is trapezoidal prism. Volume of trapezoidal prism is given by: V = ( a + b ) × h 2 × H Where, a = 14 cm , b = 8 cm , h = 4 cm , H = 10 cm V = ( 14 + 8 ) c m × 4 c m 2 × 10 cm = 22 cm × 4 cm 2 × 10 cm = 440 cm 3

For the following shape: Indicate the base shape and find its area Find the volume of the 3 D shape. Show all of your working and round answers to the nearest tenth if necessary.

For given 3 - D shape have: Base area is hexagon shape. Area of hexagon = nbh 2 Where , n = number of sides b = base h = apothem A = 6 × 7 cm × 6 . 1 cm 2 = 128 . 1 cm 2 Volume of 3 D shape = base area × height = 128 . 1 cm 2 × 14 cm = 1793 . 4 cm 3

E M B I B E

MYP Mathematics A concept-based approach 2>Chapter 5 - 2D and 3D Geometry Human and Natural Landscapes>Practice 5

David Weber, Talei Kunkel, Alexander Martinez and, Rebecca Shultis Solutions for Chapter: 2D and 3D Geometry Human and Natural Landscapes, Exercise 18: Practice 5

Author:David Weber, Talei Kunkel, Alexander Martinez & Rebecca Shultis

David Weber Mathematics Solutions for Exercise - David Weber, Talei Kunkel, Alexander Martinez and, Rebecca Shultis Solutions for Chapter: 2D and 3D Geometry Human and Natural Landscapes, Exercise 18: Practice 5

Attempt the practice questions on Chapter 5: 2D and 3D Geometry Human and Natural Landscapes, Exercise 18: Practice 5 with hints and solutions to strengthen your understanding. MYP Mathematics A concept-based approach 2 solutions are prepared by Experienced Embibe Experts.