A cuboidal box is a three-dimensional figure, with varying length, breadth, and height whereas in a cubical box; length, breadth, and height are all equal to each other. The space enclosed by a three-dimensional figure is known as it is volume. Volume of a cuboid having length l , breadth b and height h is (l*b*h) unit³. Volume of a cube having side l is (l*l*l) unit³. It is Jatin’s birthday today! He has 100 cube-shaped chocolates of side 2cm.As a return gift for his friends, Jatin wants to pack the least number of chocolates in a box, each box containing same number of chocolates. He must make boxes for this purpose, keeping in mind that he has 12 friends. Jatin takes four colourful paper sheet, each measuring 12cmx12cm. His task is to make four cuboidal or cubical boxes (without lid) of different volumes, by folding and then decide as to which dimensions should he choose for making the gift boxes. Let us build a box from Jatin’s 12cmx12cm square sheet. You can do this by cutting out congruent squares at all the corners of the sheet. Let us begin by drawing 1cmx1cm squares on each corner of the sheet. Next, cut out all four squares from the corners. Fold up the sides along the dotted lines (as shown in the figure) and paste them together.(The folds are indicated by the dotted lines in the diagram.)Now take another rectangular sheet of same size and cut 2cmx2cm squares out of each corner and make another box by folding up the sides.
9A) What are the dimensions of the base of box 1? *
a)10cmx10cm
b)10cmx1cm
c)10cmx2cm
d)12cmx10cm
9B) Now take another rectangular sheet of same size and cut 2cmx2cm squares out of each corner and make another box by folding up the sides. What are the dimensions of the base of box 2?
a)9cmx9cm
b)8cmx1cm
c)8cmx8cm
d)9cmx2cm
9C) Now make two more boxes out of the remaining sheets of paper by cutting out squares of 3cm×3cm and 4cmx4cm from each corner. If you keep on cutting out larger and larger squares from the corners of a sheet, which of the four boxes will have the minimum volume?
a)BOX 1
b)BOX 2
c)BOX 3
d)BOX 4
9D) What will be the least number of chocolates that will be needed for preparing 1 return-gift box? *
1 point
a) 8
b) 64
c) 32
d) 10
Answers
Step-by-step explanation:
cuboidal box is a three-dimensional figure, with varying length, breadth, and height whereas in a cubical box; length, breadth, and height are all equal to each other. The space enclosed by a three-dimensional figure is known as it is volume. Volume of a cuboid having length l , breadth b and height h is (l*b*h) unit³. Volume of a cube having side l is (l*l*l) unit³. It is Jatin’s birthday today! He has 100 cube-shaped chocolates of side 2cm.As a return gift for his friends, Jatin wants to pack the least number of chocolates in a box, each box containing same number of chocolates. He must make boxes for this purpose, keeping in mind that he has 12 friends. Jatin takes four colourful paper sheet, each measuring 12cmx12cm. His task is to make four cuboidal or cubical boxes (without lid) of different volumes, by folding and then decide as to which dimensions should he choose for making the gift boxes. Let us build a box from Jatin’s 12cmx12cm square sheet. You can do this by cutting out congruent squares at all the corners of the sheet. Let us begin by drawing 1cmx1cm squares on each corner of the sheet. Next, cut out all four squares from the corners. Fold up the sides along the dotted lines (as shown in the figure) and paste them together.(The folds are indicated by the dotted lines in the diagram.)Now take another rectangular sheet of same size and cut 2cmx2cm squares out of each corner and make another box by folding up the sides.
9A) What are the dimensions of the base of box 1? *
a)10cmx10cm
b)10cmx1cm
c)10cmx2cm
d)12cmx10cm
9B) Now take another rectangular sheet of same size and cut 2cmx2cm squares out of each corner and make another box by folding up the sides. What are the dimensions of the base of box 2?
a)9cmx9cm
b)8cmx1cm
c)8cmx8cm
d)9cmx2cm
9C) Now make two more boxes out of the remaining sheets of paper by cutting out squares of 3cm×3cm and 4cmx4cm from each corner. If you keep on cutting out larger and larger squares from the corners of a sheet, which of the four boxes will have the minimum volume?
a)BOX 1
b)BOX 2
c)BOX 3
d)BOX 4
9D) What will be the least number of chocolates that will be needed for preparing 1 return-gift box? *
1 point
a) 8
b) 64
c) 32
d) 10