Mtap G6S5 With TG
Mtap G6S5 With TG
Mtap G6S5 With TG
2. 6.
3. 7.
4. 8.
1. 4.
2. 5.
3.
1. 3.
2. 4.
E. Find the surface area and volume of each of the following solids.
1. 4.
2. 5.
3.
Challenge!
1. The length of a rectangular prism is four times the width. Its height is thrice the width. If the volume
of the prism is 1500 cm3, find the width, length and height of it.
2. A soccer ball with a diameter of 8 inches fits inside a small cylindrical water tank with the height of
16 inches. Find the volume that is inside the water tank but outside the soccer ball.
3. If 3/4 of the area of a rectangle is 84 cm2, what is the area of the whole rectangle?
4. A garden is 28m wide. If the length is 10% longer than the width, find the perimeter and area of the
garden.
5. A triangular prism has a right triangular base with the legs equal to 3 cm and 4 cm. If the volume is
120 cm3, find the height of the prism.
MTAP-DepEd Program in Mathematics Grade 6 – Session 5 – TG
B. Give the name and find the number of edges and faces of the following solids.
Name: Triangular Prism Name: Rectangular Prism
1. Faces: 5 5. Faces: 6
Edges: 9 Edges: 12
3. 7.
4. 8.
2. 112.48 m2 5. 35 m2
3. 48 m2
D. Find the area of the following.
1. 72m2 3. 56cm2
2. 4.
115m2 69.81 sq. ft.
E. Find the surface area and volume of each of the following solids.
2. 5.
SA = 94.2 sq. ft
V =68.69 cu. ft
3.
2. The volume of the box is 216 cubic inches. Find the length of each side of the box. 6 in
3. Mary bought a new jewelry box that has a length of 10 inches, a width of 5 inches, and a height
of 4 inches. What is the volume of the jewelry box? 200 cu. in
4. How much salt is needed to fill a pit that is 10m deep and 8m wide and 12 m long? 960m3
5. Five metal cubes with sides of 5 cm are melted and casted into a spherical ball. Find the volume
of the sphere that is formed. 625m3
7. What is the volume of a regular cylinder whose base has a radius of 7 cm and a height of 2 cm?
307.72cm3
8. A cylinder has a radius of 2 inches and a height of 7 inches. What is the volume of this cylinder?
87.92 cu. in
9. The diameter of a beverage tin can is 3 inches and the height is 5 inches. Find the volume.
35.33 cu. in
10. The base of a pyramid is square with side of length 10 cm. and its height is 9 cm. Find the
volume of the pyramid. 300cm3
Challenge!
1. The length of a rectangular prism is four times the width. Its height is thrice the width. If the volume
of the prism is 1500 cm3, find the width, length and height of it. w = 5cm, l = 20cm, h = 15
2. A soccer ball with a diameter of 8 inches fits inside a small cylindrical water tank with the height of
16 inches. Find the volume that is inside the water tank but outside the soccer ball. 535.89 cu. In
3. If 3/4 of the area of a rectangle is 84 cm2, what is the area of the whole rectangle? Area = 112 cm2
4. A garden is 28m wide. If the length is 10% longer than the width, find the perimeter and area of the
garden. Length = 28 x 0.1 = 2.8 = 2.8 + 28 = 30.8m.
Perimeter = 2(28 + 30.8) = 117.6m; Area = 30.8 x 28 = 862.4m2
5. A triangular prism has a right triangular base with the legs equal to 3 cm and 4 cm. If the volume is
120 cm3, find the height of the prism.
Volume = area of base times the height.
Area of base = (3 x 4)/2 = 6 cm2. If the volume is 120 cm3 the height 120/6 = 20 cm.