"Changes in Surface Area" Cuboid and Cube PPT Courseware 2

Description

"Changes in Surface Area" Cuboid and Cube PPT Courseware 2

Use the rules you discovered to solve them quickly

(1) After 10 small cubes of the same size are arranged in a row to form a cuboid, ( ) faces are reduced.

(2) After 151 small cubes of the same size are arranged in a row to form a cuboid, ( ) faces are reduced.

(3) After 2001 small cubes of the same size are arranged in a row to form a cuboid, ( ) faces are reduced.

Application rules

① Use two small cubes with an edge length of 1 cm to form a cuboid. ( ) has no change, ( ) has changed;

② Use 5 small cubes with an edge length of 1 cm to form a cuboid. The surface area is reduced by ( ) face area;

③ Put three cubes with edge lengths of 5 cm into a cuboid. The surface area of ​​this cuboid is ( ) square centimeters;

A. 350 B. 450 C. 550

④Judgment: Put three cubes with edges of 1 cm long into a cuboid. The surface area of ​​the cuboid is 18 square centimeters. ( )

discuss:

If n cubes of the same size are assembled into a cuboid, will the surface area be reduced by (n-1)×2 faces? why?

Use 8 small cubes with an edge length of 1 cm to form a large cuboid (or cube). What is the maximum surface area of ​​the assembled cuboid (or cube) in square centimeters? What is the minimum surface area in square centimeters?

Solution one:

1×1×6×8－ 1×1×2×7

=48－14

=34(square centimeters)

Solution 2:

8×1×4+1×1×2

=32+2

=34(square centimeters)

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For more information about the "Changes in Surface Area of ​​Cuboids and Cubes" PPT courseware, please click on the "Changes in Surface Areas of Cuboids and Cubes ppt ppt" tab.

"Changes in Surface Area" PPT courseware for cuboids and cubes:

"Changes in Surface Area" PPT courseware for cuboids and cubes 1. The sum of their volumes is ( ) cubic centimeters, and the sum of their surface areas is ( ) square centimeters. 2. Use these two cubes to form a large cuboid (1) The volume of a cuboid is ( ) cubic centimeters..

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Update Time: 2024-11-22

This template belongs to Mathematics courseware Jiangsu Education Edition Sixth Grade Mathematics Volume 1 industry PPT template

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