Answer:
H = 3
Step-by-step explanation:
V of Large box = 4 x (V of Small box)
96/4 = 24
24 = V Small box.
V = L x W x H
24 = 2 x 4 x H
24 = 8 x H
3 = H
Therefore height of small box is 3.
The height of the one small box is 4 cm if Jessica puts the four small boxes into the large box. there’s no space leftover.
It is defined as the six-faced shape, a type of hexahedron in geometry.
It is a three-dimensional shape.
Jessica has four small boxes that are the same size and one large box.
The dimensions for the small boxes:
Width w = 4 cm
Length l = 2 cm
Volume of a large box = 96 cubic centimetres
As Jessica puts the four small boxes into the large box. there’s no space leftover, mathematically,
The volume of the large box = 4(Volume of the small boxes)
The volume of the large box = 4(l×w×h)
Where h is the height of the small box.
96 = 4(3×2×h)
24h = 96
h = 4 cm (divide by 48 on both sides)
Thus, the height of the one small box is 4 cm if Jessica puts the four small boxes into the large box. there’s no space leftover.
Learn more about the cuboid here:
brainly.com/question/9740924
